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Finding the Fourth Proportional to 614,908.22, 922,642.56 and 315,598.98

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Solution

The fourth proportional to 614,908.22, 922,642.56 and 315,598.98 is: 473,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,908.22 : 922,642.56 = 315,598.98 : x
  2. Step 2: Convert to fraction form
    614,908.22/922,642.56 = 315,598.98/x
  3. Step 3: Cross multiply
    614,908.22x = 922,642.56 × 315,598.98
  4. Step 4: Simplify right side
    614,908.22x = 291,185,050,840.59
  5. Step 5: Solve for x
    x = 291,185,050,840.59/614,908.22
  6. Step 6: Final answer
    x = 473,542.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.