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Finding the Fourth Proportional to 418,047.06, 576,820.25 and 254,594

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Solution

The fourth proportional to 418,047.06, 576,820.25 and 254,594 is: 351,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,047.06 : 576,820.25 = 254,594 : x
  2. Step 2: Convert to fraction form
    418,047.06/576,820.25 = 254,594/x
  3. Step 3: Cross multiply
    418,047.06x = 576,820.25 × 254,594
  4. Step 4: Simplify right side
    418,047.06x = 146,854,974,728.50
  5. Step 5: Solve for x
    x = 146,854,974,728.50/418,047.06
  6. Step 6: Final answer
    x = 351,288.14

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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.