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Finding the Fourth Proportional to 464,088.10, 696,132.15 and 148,576.90

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Solution

The fourth proportional to 464,088.10, 696,132.15 and 148,576.90 is: 222,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,088.10 : 696,132.15 = 148,576.90 : x
  2. Step 2: Convert to fraction form
    464,088.10/696,132.15 = 148,576.90/x
  3. Step 3: Cross multiply
    464,088.10x = 696,132.15 × 148,576.90
  4. Step 4: Simplify right side
    464,088.10x = 103,429,156,837.34
  5. Step 5: Solve for x
    x = 103,429,156,837.34/464,088.10
  6. Step 6: Final answer
    x = 222,865.35

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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.