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Finding the Fourth Proportional to 520,459.38, 780,689.34 and 146,482.38

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Solution

The fourth proportional to 520,459.38, 780,689.34 and 146,482.38 is: 219,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,459.38 : 780,689.34 = 146,482.38 : x
  2. Step 2: Convert to fraction form
    520,459.38/780,689.34 = 146,482.38/x
  3. Step 3: Cross multiply
    520,459.38x = 780,689.34 × 146,482.38
  4. Step 4: Simplify right side
    520,459.38x = 114,357,232,563.83
  5. Step 5: Solve for x
    x = 114,357,232,563.83/520,459.38
  6. Step 6: Final answer
    x = 219,723.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.