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Finding the Fourth Proportional to 726,273, 1,002,256.76 and 408,321

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Solution

The fourth proportional to 726,273, 1,002,256.76 and 408,321 is: 563,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,273 : 1,002,256.76 = 408,321 : x
  2. Step 2: Convert to fraction form
    726,273/1,002,256.76 = 408,321/x
  3. Step 3: Cross multiply
    726,273x = 1,002,256.76 × 408,321
  4. Step 4: Simplify right side
    726,273x = 409,242,482,499.96
  5. Step 5: Solve for x
    x = 409,242,482,499.96/726,273
  6. Step 6: Final answer
    x = 563,482.99

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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.