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Finding the Fourth Proportional to 650,666.29, 896,702.38 and 469,068.74

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Solution

The fourth proportional to 650,666.29, 896,702.38 and 469,068.74 is: 646,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,666.29 : 896,702.38 = 469,068.74 : x
  2. Step 2: Convert to fraction form
    650,666.29/896,702.38 = 469,068.74/x
  3. Step 3: Cross multiply
    650,666.29x = 896,702.38 × 469,068.74
  4. Step 4: Simplify right side
    650,666.29x = 420,615,056,610.69
  5. Step 5: Solve for x
    x = 420,615,056,610.69/650,666.29
  6. Step 6: Final answer
    x = 646,437.45

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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.