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Finding the Fourth Proportional to 520,061.70, 778,537.35 and 309,591.30

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Solution

The fourth proportional to 520,061.70, 778,537.35 and 309,591.30 is: 463,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,061.70 : 778,537.35 = 309,591.30 : x
  2. Step 2: Convert to fraction form
    520,061.70/778,537.35 = 309,591.30/x
  3. Step 3: Cross multiply
    520,061.70x = 778,537.35 × 309,591.30
  4. Step 4: Simplify right side
    520,061.70x = 241,028,390,285.06
  5. Step 5: Solve for x
    x = 241,028,390,285.06/520,061.70
  6. Step 6: Final answer
    x = 463,461.14

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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.