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Finding the Fourth Proportional to 459,053.70, 688,580.55 and 364,575.30

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Solution

The fourth proportional to 459,053.70, 688,580.55 and 364,575.30 is: 546,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,053.70 : 688,580.55 = 364,575.30 : x
  2. Step 2: Convert to fraction form
    459,053.70/688,580.55 = 364,575.30/x
  3. Step 3: Cross multiply
    459,053.70x = 688,580.55 × 364,575.30
  4. Step 4: Simplify right side
    459,053.70x = 251,039,460,590.42
  5. Step 5: Solve for x
    x = 251,039,460,590.42/459,053.70
  6. Step 6: Final answer
    x = 546,862.95

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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.