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Finding the Fourth Proportional to 232,265.68, 320,707.80 and 178,465.36

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Solution

The fourth proportional to 232,265.68, 320,707.80 and 178,465.36 is: 246,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,265.68 : 320,707.80 = 178,465.36 : x
  2. Step 2: Convert to fraction form
    232,265.68/320,707.80 = 178,465.36/x
  3. Step 3: Cross multiply
    232,265.68x = 320,707.80 × 178,465.36
  4. Step 4: Simplify right side
    232,265.68x = 57,235,232,981.81
  5. Step 5: Solve for x
    x = 57,235,232,981.81/232,265.68
  6. Step 6: Final answer
    x = 246,421.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.