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Finding the Fourth Proportional to 584,400.30, 875,970.81 and 285,082.62

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Solution

The fourth proportional to 584,400.30, 875,970.81 and 285,082.62 is: 427,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,400.30 : 875,970.81 = 285,082.62 : x
  2. Step 2: Convert to fraction form
    584,400.30/875,970.81 = 285,082.62/x
  3. Step 3: Cross multiply
    584,400.30x = 875,970.81 × 285,082.62
  4. Step 4: Simplify right side
    584,400.30x = 249,724,053,558.32
  5. Step 5: Solve for x
    x = 249,724,053,558.32/584,400.30
  6. Step 6: Final answer
    x = 427,316.78

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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.