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Finding the Fourth Proportional to 584,477.76, 876,011.40 and 284,508.96

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Solution

The fourth proportional to 584,477.76, 876,011.40 and 284,508.96 is: 426,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,477.76 : 876,011.40 = 284,508.96 : x
  2. Step 2: Convert to fraction form
    584,477.76/876,011.40 = 284,508.96/x
  3. Step 3: Cross multiply
    584,477.76x = 876,011.40 × 284,508.96
  4. Step 4: Simplify right side
    584,477.76x = 249,233,092,362.14
  5. Step 5: Solve for x
    x = 249,233,092,362.14/584,477.76
  6. Step 6: Final answer
    x = 426,420.15

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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.