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Finding the Fourth Proportional to 477,095.90, 715,533.08 and 140,046.03

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Solution

The fourth proportional to 477,095.90, 715,533.08 and 140,046.03 is: 210,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,095.90 : 715,533.08 = 140,046.03 : x
  2. Step 2: Convert to fraction form
    477,095.90/715,533.08 = 140,046.03/x
  3. Step 3: Cross multiply
    477,095.90x = 715,533.08 × 140,046.03
  4. Step 4: Simplify right side
    477,095.90x = 100,207,566,487.44
  5. Step 5: Solve for x
    x = 100,207,566,487.44/477,095.90
  6. Step 6: Final answer
    x = 210,036.53

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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.