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Finding the Fourth Proportional to 472,902.32, 709,345.95 and 220,041.38

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Solution

The fourth proportional to 472,902.32, 709,345.95 and 220,041.38 is: 330,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,902.32 : 709,345.95 = 220,041.38 : x
  2. Step 2: Convert to fraction form
    472,902.32/709,345.95 = 220,041.38/x
  3. Step 3: Cross multiply
    472,902.32x = 709,345.95 × 220,041.38
  4. Step 4: Simplify right side
    472,902.32x = 156,085,461,735.41
  5. Step 5: Solve for x
    x = 156,085,461,735.41/472,902.32
  6. Step 6: Final answer
    x = 330,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.