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Finding the Fourth Proportional to 584,803.23, 876,497.98 and 284,834.31

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Solution

The fourth proportional to 584,803.23, 876,497.98 and 284,834.31 is: 426,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,803.23 : 876,497.98 = 284,834.31 : x
  2. Step 2: Convert to fraction form
    584,803.23/876,497.98 = 284,834.31/x
  3. Step 3: Cross multiply
    584,803.23x = 876,497.98 × 284,834.31
  4. Step 4: Simplify right side
    584,803.23x = 249,656,697,349.69
  5. Step 5: Solve for x
    x = 249,656,697,349.69/584,803.23
  6. Step 6: Final answer
    x = 426,907.18

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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.