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Finding the Fourth Proportional to 625,478.14, 938,209.02 and 152,164

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Solution

The fourth proportional to 625,478.14, 938,209.02 and 152,164 is: 228,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,478.14 : 938,209.02 = 152,164 : x
  2. Step 2: Convert to fraction form
    625,478.14/938,209.02 = 152,164/x
  3. Step 3: Cross multiply
    625,478.14x = 938,209.02 × 152,164
  4. Step 4: Simplify right side
    625,478.14x = 142,761,637,319.28
  5. Step 5: Solve for x
    x = 142,761,637,319.28/625,478.14
  6. Step 6: Final answer
    x = 228,244.01

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