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Finding the Fourth Proportional to 459,700.80, 688,271.40 and 234,574.80

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Solution

The fourth proportional to 459,700.80, 688,271.40 and 234,574.80 is: 351,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,700.80 : 688,271.40 = 234,574.80 : x
  2. Step 2: Convert to fraction form
    459,700.80/688,271.40 = 234,574.80/x
  3. Step 3: Cross multiply
    459,700.80x = 688,271.40 × 234,574.80
  4. Step 4: Simplify right side
    459,700.80x = 161,451,126,000.72
  5. Step 5: Solve for x
    x = 161,451,126,000.72/459,700.80
  6. Step 6: Final answer
    x = 351,209.15

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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.