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Finding the Fourth Proportional to 412,875.34, 619,313.98 and 113,360.02

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Solution

The fourth proportional to 412,875.34, 619,313.98 and 113,360.02 is: 170,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875.34 : 619,313.98 = 113,360.02 : x
  2. Step 2: Convert to fraction form
    412,875.34/619,313.98 = 113,360.02/x
  3. Step 3: Cross multiply
    412,875.34x = 619,313.98 × 113,360.02
  4. Step 4: Simplify right side
    412,875.34x = 70,205,445,159.08
  5. Step 5: Solve for x
    x = 70,205,445,159.08/412,875.34
  6. Step 6: Final answer
    x = 170,040.30

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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.