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Finding the Fourth Proportional to 314,145.66, 433,610.15 and 185,159.10

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Solution

The fourth proportional to 314,145.66, 433,610.15 and 185,159.10 is: 255,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,145.66 : 433,610.15 = 185,159.10 : x
  2. Step 2: Convert to fraction form
    314,145.66/433,610.15 = 185,159.10/x
  3. Step 3: Cross multiply
    314,145.66x = 433,610.15 × 185,159.10
  4. Step 4: Simplify right side
    314,145.66x = 80,286,864,199.07
  5. Step 5: Solve for x
    x = 80,286,864,199.07/314,145.66
  6. Step 6: Final answer
    x = 255,572.09

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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.