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Finding the Fourth Proportional to 712,332.94, 983,045.94 and 406,459.12

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Solution

The fourth proportional to 712,332.94, 983,045.94 and 406,459.12 is: 560,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,332.94 : 983,045.94 = 406,459.12 : x
  2. Step 2: Convert to fraction form
    712,332.94/983,045.94 = 406,459.12/x
  3. Step 3: Cross multiply
    712,332.94x = 983,045.94 × 406,459.12
  4. Step 4: Simplify right side
    712,332.94x = 399,567,987,691.97
  5. Step 5: Solve for x
    x = 399,567,987,691.97/712,332.94
  6. Step 6: Final answer
    x = 560,928.70

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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.