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Finding the Fourth Proportional to 876,184.96, 1,209,134.40 and 473,776

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Solution

The fourth proportional to 876,184.96, 1,209,134.40 and 473,776 is: 653,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,184.96 : 1,209,134.40 = 473,776 : x
  2. Step 2: Convert to fraction form
    876,184.96/1,209,134.40 = 473,776/x
  3. Step 3: Cross multiply
    876,184.96x = 1,209,134.40 × 473,776
  4. Step 4: Simplify right side
    876,184.96x = 572,858,859,494.40
  5. Step 5: Solve for x
    x = 572,858,859,494.40/876,184.96
  6. Step 6: Final answer
    x = 653,810.42

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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.