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Finding the Fourth Proportional to 457,897, 631,897.88 and 256,693

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Solution

The fourth proportional to 457,897, 631,897.88 and 256,693 is: 354,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,897 : 631,897.88 = 256,693 : x
  2. Step 2: Convert to fraction form
    457,897/631,897.88 = 256,693/x
  3. Step 3: Cross multiply
    457,897x = 631,897.88 × 256,693
  4. Step 4: Simplify right side
    457,897x = 162,203,762,510.84
  5. Step 5: Solve for x
    x = 162,203,762,510.84/457,897
  6. Step 6: Final answer
    x = 354,236.35

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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.