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Finding the Fourth Proportional to 473,538.35, 710,483.99 and 284,134.66

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Solution

The fourth proportional to 473,538.35, 710,483.99 and 284,134.66 is: 426,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,538.35 : 710,483.99 = 284,134.66 : x
  2. Step 2: Convert to fraction form
    473,538.35/710,483.99 = 284,134.66/x
  3. Step 3: Cross multiply
    473,538.35x = 710,483.99 × 284,134.66
  4. Step 4: Simplify right side
    473,538.35x = 201,873,128,532.54
  5. Step 5: Solve for x
    x = 201,873,128,532.54/473,538.35
  6. Step 6: Final answer
    x = 426,307.87

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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.