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Finding the Fourth Proportional to 418,580.40, 627,490.86 and 152,152.74

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Solution

The fourth proportional to 418,580.40, 627,490.86 and 152,152.74 is: 228,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,580.40 : 627,490.86 = 152,152.74 : x
  2. Step 2: Convert to fraction form
    418,580.40/627,490.86 = 152,152.74/x
  3. Step 3: Cross multiply
    418,580.40x = 627,490.86 × 152,152.74
  4. Step 4: Simplify right side
    418,580.40x = 95,474,453,673.96
  5. Step 5: Solve for x
    x = 95,474,453,673.96/418,580.40
  6. Step 6: Final answer
    x = 228,091.08

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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.