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Finding the Fourth Proportional to 457,429.80, 686,144.70 and 307,741.80

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Solution

The fourth proportional to 457,429.80, 686,144.70 and 307,741.80 is: 461,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,429.80 : 686,144.70 = 307,741.80 : x
  2. Step 2: Convert to fraction form
    457,429.80/686,144.70 = 307,741.80/x
  3. Step 3: Cross multiply
    457,429.80x = 686,144.70 × 307,741.80
  4. Step 4: Simplify right side
    457,429.80x = 211,155,405,038.46
  5. Step 5: Solve for x
    x = 211,155,405,038.46/457,429.80
  6. Step 6: Final answer
    x = 461,612.70

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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.