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Finding the Fourth Proportional to 459,139.80, 688,709.70 and 347,165.40

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Solution

The fourth proportional to 459,139.80, 688,709.70 and 347,165.40 is: 520,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,139.80 : 688,709.70 = 347,165.40 : x
  2. Step 2: Convert to fraction form
    459,139.80/688,709.70 = 347,165.40/x
  3. Step 3: Cross multiply
    459,139.80x = 688,709.70 × 347,165.40
  4. Step 4: Simplify right side
    459,139.80x = 239,096,178,484.38
  5. Step 5: Solve for x
    x = 239,096,178,484.38/459,139.80
  6. Step 6: Final answer
    x = 520,748.10

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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.