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Finding the Fourth Proportional to 584,810.92, 876,509.52 and 284,842

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Solution

The fourth proportional to 584,810.92, 876,509.52 and 284,842 is: 426,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,810.92 : 876,509.52 = 284,842 : x
  2. Step 2: Convert to fraction form
    584,810.92/876,509.52 = 284,842/x
  3. Step 3: Cross multiply
    584,810.92x = 876,509.52 × 284,842
  4. Step 4: Simplify right side
    584,810.92x = 249,666,724,695.84
  5. Step 5: Solve for x
    x = 249,666,724,695.84/584,810.92
  6. Step 6: Final answer
    x = 426,918.71

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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.