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Finding the Fourth Proportional to 565,368.38, 780,390.14 and 361,967.12

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Solution

The fourth proportional to 565,368.38, 780,390.14 and 361,967.12 is: 499,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,368.38 : 780,390.14 = 361,967.12 : x
  2. Step 2: Convert to fraction form
    565,368.38/780,390.14 = 361,967.12/x
  3. Step 3: Cross multiply
    565,368.38x = 780,390.14 × 361,967.12
  4. Step 4: Simplify right side
    565,368.38x = 282,475,571,452.20
  5. Step 5: Solve for x
    x = 282,475,571,452.20/565,368.38
  6. Step 6: Final answer
    x = 499,631.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.