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Finding the Fourth Proportional to 565,417.18, 780,281.75 and 307,294.12

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Solution

The fourth proportional to 565,417.18, 780,281.75 and 307,294.12 is: 424,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,417.18 : 780,281.75 = 307,294.12 : x
  2. Step 2: Convert to fraction form
    565,417.18/780,281.75 = 307,294.12/x
  3. Step 3: Cross multiply
    565,417.18x = 780,281.75 × 307,294.12
  4. Step 4: Simplify right side
    565,417.18x = 239,775,993,718.31
  5. Step 5: Solve for x
    x = 239,775,993,718.31/565,417.18
  6. Step 6: Final answer
    x = 424,069.17

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