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Finding the Fourth Proportional to 614,307.76, 921,476.22 and 165,029.20

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Solution

The fourth proportional to 614,307.76, 921,476.22 and 165,029.20 is: 247,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,307.76 : 921,476.22 = 165,029.20 : x
  2. Step 2: Convert to fraction form
    614,307.76/921,476.22 = 165,029.20/x
  3. Step 3: Cross multiply
    614,307.76x = 921,476.22 × 165,029.20
  4. Step 4: Simplify right side
    614,307.76x = 152,070,483,405.62
  5. Step 5: Solve for x
    x = 152,070,483,405.62/614,307.76
  6. Step 6: Final answer
    x = 247,547.72

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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.