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Finding the Fourth Proportional to 420,368.53, 580,122.56 and 229,392.40

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Solution

The fourth proportional to 420,368.53, 580,122.56 and 229,392.40 is: 316,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,368.53 : 580,122.56 = 229,392.40 : x
  2. Step 2: Convert to fraction form
    420,368.53/580,122.56 = 229,392.40/x
  3. Step 3: Cross multiply
    420,368.53x = 580,122.56 × 229,392.40
  4. Step 4: Simplify right side
    420,368.53x = 133,075,706,332.54
  5. Step 5: Solve for x
    x = 133,075,706,332.54/420,368.53
  6. Step 6: Final answer
    x = 316,569.15

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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.