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Finding the Fourth Proportional to 584,562.84, 876,325.86 and 284,875.80

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Solution

The fourth proportional to 584,562.84, 876,325.86 and 284,875.80 is: 427,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,562.84 : 876,325.86 = 284,875.80 : x
  2. Step 2: Convert to fraction form
    584,562.84/876,325.86 = 284,875.80/x
  3. Step 3: Cross multiply
    584,562.84x = 876,325.86 × 284,875.80
  4. Step 4: Simplify right side
    584,562.84x = 249,644,030,428.19
  5. Step 5: Solve for x
    x = 249,644,030,428.19/584,562.84
  6. Step 6: Final answer
    x = 427,061.07

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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.