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Finding the Fourth Proportional to 447,547.44, 671,419.80 and 194,868.48

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Solution

The fourth proportional to 447,547.44, 671,419.80 and 194,868.48 is: 292,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,547.44 : 671,419.80 = 194,868.48 : x
  2. Step 2: Convert to fraction form
    447,547.44/671,419.80 = 194,868.48/x
  3. Step 3: Cross multiply
    447,547.44x = 671,419.80 × 194,868.48
  4. Step 4: Simplify right side
    447,547.44x = 130,838,555,867.90
  5. Step 5: Solve for x
    x = 130,838,555,867.90/447,547.44
  6. Step 6: Final answer
    x = 292,345.67

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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.