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Finding the Fourth Proportional to 614,905.22, 922,638.06 and 315,595.98

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Solution

The fourth proportional to 614,905.22, 922,638.06 and 315,595.98 is: 473,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,905.22 : 922,638.06 = 315,595.98 : x
  2. Step 2: Convert to fraction form
    614,905.22/922,638.06 = 315,595.98/x
  3. Step 3: Cross multiply
    614,905.22x = 922,638.06 × 315,595.98
  4. Step 4: Simplify right side
    614,905.22x = 291,180,862,731.00
  5. Step 5: Solve for x
    x = 291,180,862,731.00/614,905.22
  6. Step 6: Final answer
    x = 473,537.80

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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.