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Finding the Fourth Proportional to 584,565.84, 876,330.36 and 284,878.80

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Solution

The fourth proportional to 584,565.84, 876,330.36 and 284,878.80 is: 427,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,565.84 : 876,330.36 = 284,878.80 : x
  2. Step 2: Convert to fraction form
    584,565.84/876,330.36 = 284,878.80/x
  3. Step 3: Cross multiply
    584,565.84x = 876,330.36 × 284,878.80
  4. Step 4: Simplify right side
    584,565.84x = 249,647,941,360.37
  5. Step 5: Solve for x
    x = 249,647,941,360.37/584,565.84
  6. Step 6: Final answer
    x = 427,065.57

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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.