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Finding the Fourth Proportional to 461,349.68, 692,018.64 and 157,740.77

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Solution

The fourth proportional to 461,349.68, 692,018.64 and 157,740.77 is: 236,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,349.68 : 692,018.64 = 157,740.77 : x
  2. Step 2: Convert to fraction form
    461,349.68/692,018.64 = 157,740.77/x
  3. Step 3: Cross multiply
    461,349.68x = 692,018.64 × 157,740.77
  4. Step 4: Simplify right side
    461,349.68x = 109,159,550,965.40
  5. Step 5: Solve for x
    x = 109,159,550,965.40/461,349.68
  6. Step 6: Final answer
    x = 236,609.14

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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.