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Finding the Fourth Proportional to 314,749.65, 472,123.89 and 98,624.93

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Solution

The fourth proportional to 314,749.65, 472,123.89 and 98,624.93 is: 147,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,749.65 : 472,123.89 = 98,624.93 : x
  2. Step 2: Convert to fraction form
    314,749.65/472,123.89 = 98,624.93/x
  3. Step 3: Cross multiply
    314,749.65x = 472,123.89 × 98,624.93
  4. Step 4: Simplify right side
    314,749.65x = 46,563,183,241.96
  5. Step 5: Solve for x
    x = 46,563,183,241.96/314,749.65
  6. Step 6: Final answer
    x = 147,937.20

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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.