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Finding the Fourth Proportional to 584,774.80, 876,455.76 and 284,805.76

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Solution

The fourth proportional to 584,774.80, 876,455.76 and 284,805.76 is: 426,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,774.80 : 876,455.76 = 284,805.76 : x
  2. Step 2: Convert to fraction form
    584,774.80/876,455.76 = 284,805.76/x
  3. Step 3: Cross multiply
    584,774.80x = 876,455.76 × 284,805.76
  4. Step 4: Simplify right side
    584,774.80x = 249,619,648,833.18
  5. Step 5: Solve for x
    x = 249,619,648,833.18/584,774.80
  6. Step 6: Final answer
    x = 426,864.58

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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.