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Finding the Fourth Proportional to 690,293.32, 952,898.70 and 464,070.04

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Solution

The fourth proportional to 690,293.32, 952,898.70 and 464,070.04 is: 640,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,293.32 : 952,898.70 = 464,070.04 : x
  2. Step 2: Convert to fraction form
    690,293.32/952,898.70 = 464,070.04/x
  3. Step 3: Cross multiply
    690,293.32x = 952,898.70 × 464,070.04
  4. Step 4: Simplify right side
    690,293.32x = 442,211,737,824.95
  5. Step 5: Solve for x
    x = 442,211,737,824.95/690,293.32
  6. Step 6: Final answer
    x = 640,614.25

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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.