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Finding the Fourth Proportional to 520,095.10, 780,142.65 and 520,095.10

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Solution

The fourth proportional to 520,095.10, 780,142.65 and 520,095.10 is: 780,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,095.10 : 780,142.65 = 520,095.10 : x
  2. Step 2: Convert to fraction form
    520,095.10/780,142.65 = 520,095.10/x
  3. Step 3: Cross multiply
    520,095.10x = 780,142.65 × 520,095.10
  4. Step 4: Simplify right side
    520,095.10x = 405,748,369,566.02
  5. Step 5: Solve for x
    x = 405,748,369,566.02/520,095.10
  6. Step 6: Final answer
    x = 780,142.65

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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.