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Finding the Fourth Proportional to 459,658.48, 689,317.08 and 160,062.16

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Solution

The fourth proportional to 459,658.48, 689,317.08 and 160,062.16 is: 240,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,658.48 : 689,317.08 = 160,062.16 : x
  2. Step 2: Convert to fraction form
    459,658.48/689,317.08 = 160,062.16/x
  3. Step 3: Cross multiply
    459,658.48x = 689,317.08 × 160,062.16
  4. Step 4: Simplify right side
    459,658.48x = 110,333,580,749.69
  5. Step 5: Solve for x
    x = 110,333,580,749.69/459,658.48
  6. Step 6: Final answer
    x = 240,033.82

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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.