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Finding the Fourth Proportional to 311,031.40, 466,547.10 and 111,358.30

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Solution

The fourth proportional to 311,031.40, 466,547.10 and 111,358.30 is: 167,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,031.40 : 466,547.10 = 111,358.30 : x
  2. Step 2: Convert to fraction form
    311,031.40/466,547.10 = 111,358.30/x
  3. Step 3: Cross multiply
    311,031.40x = 466,547.10 × 111,358.30
  4. Step 4: Simplify right side
    311,031.40x = 51,953,891,925.93
  5. Step 5: Solve for x
    x = 51,953,891,925.93/311,031.40
  6. Step 6: Final answer
    x = 167,037.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.