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Finding the Fourth Proportional to 520,001.30, 780,111.30 and 295,177.70

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Solution

The fourth proportional to 520,001.30, 780,111.30 and 295,177.70 is: 442,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,001.30 : 780,111.30 = 295,177.70 : x
  2. Step 2: Convert to fraction form
    520,001.30/780,111.30 = 295,177.70/x
  3. Step 3: Cross multiply
    520,001.30x = 780,111.30 × 295,177.70
  4. Step 4: Simplify right side
    520,001.30x = 230,271,459,278.01
  5. Step 5: Solve for x
    x = 230,271,459,278.01/520,001.30
  6. Step 6: Final answer
    x = 442,828.62

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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.