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Finding the Fourth Proportional to 461,751.60, 693,145.80 and 357,034.80

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Solution

The fourth proportional to 461,751.60, 693,145.80 and 357,034.80 is: 535,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,751.60 : 693,145.80 = 357,034.80 : x
  2. Step 2: Convert to fraction form
    461,751.60/693,145.80 = 357,034.80/x
  3. Step 3: Cross multiply
    461,751.60x = 693,145.80 × 357,034.80
  4. Step 4: Simplify right side
    461,751.60x = 247,477,172,073.84
  5. Step 5: Solve for x
    x = 247,477,172,073.84/461,751.60
  6. Step 6: Final answer
    x = 535,953.04

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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.