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Finding the Fourth Proportional to 712,693.59, 983,532.98 and 406,763.78

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Solution

The fourth proportional to 712,693.59, 983,532.98 and 406,763.78 is: 561,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,693.59 : 983,532.98 = 406,763.78 : x
  2. Step 2: Convert to fraction form
    712,693.59/983,532.98 = 406,763.78/x
  3. Step 3: Cross multiply
    712,693.59x = 983,532.98 × 406,763.78
  4. Step 4: Simplify right side
    712,693.59x = 400,065,588,798.71
  5. Step 5: Solve for x
    x = 400,065,588,798.71/712,693.59
  6. Step 6: Final answer
    x = 561,343.05

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.