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Finding the Fourth Proportional to 418,300.12, 627,508.86 and 152,030.44

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Solution

The fourth proportional to 418,300.12, 627,508.86 and 152,030.44 is: 228,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,300.12 : 627,508.86 = 152,030.44 : x
  2. Step 2: Convert to fraction form
    418,300.12/627,508.86 = 152,030.44/x
  3. Step 3: Cross multiply
    418,300.12x = 627,508.86 × 152,030.44
  4. Step 4: Simplify right side
    418,300.12x = 95,400,448,089.70
  5. Step 5: Solve for x
    x = 95,400,448,089.70/418,300.12
  6. Step 6: Final answer
    x = 228,066.99

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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.