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Finding the Fourth Proportional to 584,756.74, 876,428.70 and 284,787.82

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Solution

The fourth proportional to 584,756.74, 876,428.70 and 284,787.82 is: 426,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,756.74 : 876,428.70 = 284,787.82 : x
  2. Step 2: Convert to fraction form
    584,756.74/876,428.70 = 284,787.82/x
  3. Step 3: Cross multiply
    584,756.74x = 876,428.70 × 284,787.82
  4. Step 4: Simplify right side
    584,756.74x = 249,596,218,858.43
  5. Step 5: Solve for x
    x = 249,596,218,858.43/584,756.74
  6. Step 6: Final answer
    x = 426,837.69

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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.