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Finding the Fourth Proportional to 584,780.48, 876,266.57 and 456,392.34

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Solution

The fourth proportional to 584,780.48, 876,266.57 and 456,392.34 is: 683,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,780.48 : 876,266.57 = 456,392.34 : x
  2. Step 2: Convert to fraction form
    584,780.48/876,266.57 = 456,392.34/x
  3. Step 3: Cross multiply
    584,780.48x = 876,266.57 × 456,392.34
  4. Step 4: Simplify right side
    584,780.48x = 399,921,348,064.11
  5. Step 5: Solve for x
    x = 399,921,348,064.11/584,780.48
  6. Step 6: Final answer
    x = 683,882.87

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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.