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Finding the Fourth Proportional to 500,153.65, 688,757.91 and 434,713.75

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Solution

The fourth proportional to 500,153.65, 688,757.91 and 434,713.75 is: 598,641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,153.65 : 688,757.91 = 434,713.75 : x
  2. Step 2: Convert to fraction form
    500,153.65/688,757.91 = 434,713.75/x
  3. Step 3: Cross multiply
    500,153.65x = 688,757.91 × 434,713.75
  4. Step 4: Simplify right side
    500,153.65x = 299,412,533,898.26
  5. Step 5: Solve for x
    x = 299,412,533,898.26/500,153.65
  6. Step 6: Final answer
    x = 598,641.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.