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Finding the Fourth Proportional to 473,053.84, 652,714.40 and 300,909.12

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Solution

The fourth proportional to 473,053.84, 652,714.40 and 300,909.12 is: 415,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,053.84 : 652,714.40 = 300,909.12 : x
  2. Step 2: Convert to fraction form
    473,053.84/652,714.40 = 300,909.12/x
  3. Step 3: Cross multiply
    473,053.84x = 652,714.40 × 300,909.12
  4. Step 4: Simplify right side
    473,053.84x = 196,407,715,715.33
  5. Step 5: Solve for x
    x = 196,407,715,715.33/473,053.84
  6. Step 6: Final answer
    x = 415,191.04

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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.