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Finding the Fourth Proportional to 712,564.54, 983,354.98 and 406,634.83

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Solution

The fourth proportional to 712,564.54, 983,354.98 and 406,634.83 is: 561,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,564.54 : 983,354.98 = 406,634.83 : x
  2. Step 2: Convert to fraction form
    712,564.54/983,354.98 = 406,634.83/x
  3. Step 3: Cross multiply
    712,564.54x = 983,354.98 × 406,634.83
  4. Step 4: Simplify right side
    712,564.54x = 399,866,383,088.78
  5. Step 5: Solve for x
    x = 399,866,383,088.78/712,564.54
  6. Step 6: Final answer
    x = 561,165.14

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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.