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Finding the Fourth Proportional to 314,295.42, 433,708.92 and 176,464.20

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Solution

The fourth proportional to 314,295.42, 433,708.92 and 176,464.20 is: 243,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,295.42 : 433,708.92 = 176,464.20 : x
  2. Step 2: Convert to fraction form
    314,295.42/433,708.92 = 176,464.20/x
  3. Step 3: Cross multiply
    314,295.42x = 433,708.92 × 176,464.20
  4. Step 4: Simplify right side
    314,295.42x = 76,534,097,600.66
  5. Step 5: Solve for x
    x = 76,534,097,600.66/314,295.42
  6. Step 6: Final answer
    x = 243,510.06

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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.