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Finding the Fourth Proportional to 464,417.28, 696,724.44 and 149,095.68

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Solution

The fourth proportional to 464,417.28, 696,724.44 and 149,095.68 is: 223,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,417.28 : 696,724.44 = 149,095.68 : x
  2. Step 2: Convert to fraction form
    464,417.28/696,724.44 = 149,095.68/x
  3. Step 3: Cross multiply
    464,417.28x = 696,724.44 × 149,095.68
  4. Step 4: Simplify right side
    464,417.28x = 103,878,604,154.42
  5. Step 5: Solve for x
    x = 103,878,604,154.42/464,417.28
  6. Step 6: Final answer
    x = 223,675.15

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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.