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Finding the Fourth Proportional to 371,830.32, 513,125.85 and 202,064.46

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Solution

The fourth proportional to 371,830.32, 513,125.85 and 202,064.46 is: 278,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,830.32 : 513,125.85 = 202,064.46 : x
  2. Step 2: Convert to fraction form
    371,830.32/513,125.85 = 202,064.46/x
  3. Step 3: Cross multiply
    371,830.32x = 513,125.85 × 202,064.46
  4. Step 4: Simplify right side
    371,830.32x = 103,684,497,792.29
  5. Step 5: Solve for x
    x = 103,684,497,792.29/371,830.32
  6. Step 6: Final answer
    x = 278,848.96

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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.