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Finding the Fourth Proportional to 464,088.60, 696,132.90 and 148,577.40

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Solution

The fourth proportional to 464,088.60, 696,132.90 and 148,577.40 is: 222,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,088.60 : 696,132.90 = 148,577.40 : x
  2. Step 2: Convert to fraction form
    464,088.60/696,132.90 = 148,577.40/x
  3. Step 3: Cross multiply
    464,088.60x = 696,132.90 × 148,577.40
  4. Step 4: Simplify right side
    464,088.60x = 103,429,616,336.46
  5. Step 5: Solve for x
    x = 103,429,616,336.46/464,088.60
  6. Step 6: Final answer
    x = 222,866.10

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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.