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Finding the Fourth Proportional to 461,417.42, 692,233.78 and 157,813.93

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Solution

The fourth proportional to 461,417.42, 692,233.78 and 157,813.93 is: 236,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,417.42 : 692,233.78 = 157,813.93 : x
  2. Step 2: Convert to fraction form
    461,417.42/692,233.78 = 157,813.93/x
  3. Step 3: Cross multiply
    461,417.42x = 692,233.78 × 157,813.93
  4. Step 4: Simplify right side
    461,417.42x = 109,244,133,771.31
  5. Step 5: Solve for x
    x = 109,244,133,771.31/461,417.42
  6. Step 6: Final answer
    x = 236,757.72

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1.5x scale

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.