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Finding the Fourth Proportional to 712,931.76, 983,808.36 and 406,996.08

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Solution

The fourth proportional to 712,931.76, 983,808.36 and 406,996.08 is: 561,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,931.76 : 983,808.36 = 406,996.08 : x
  2. Step 2: Convert to fraction form
    712,931.76/983,808.36 = 406,996.08/x
  3. Step 3: Cross multiply
    712,931.76x = 983,808.36 × 406,996.08
  4. Step 4: Simplify right side
    712,931.76x = 400,406,145,991.23
  5. Step 5: Solve for x
    x = 400,406,145,991.23/712,931.76
  6. Step 6: Final answer
    x = 561,633.20

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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.