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Finding the Fourth Proportional to 537,710.40, 807,148.80 and 301,514.40

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Solution

The fourth proportional to 537,710.40, 807,148.80 and 301,514.40 is: 452,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,710.40 : 807,148.80 = 301,514.40 : x
  2. Step 2: Convert to fraction form
    537,710.40/807,148.80 = 301,514.40/x
  3. Step 3: Cross multiply
    537,710.40x = 807,148.80 × 301,514.40
  4. Step 4: Simplify right side
    537,710.40x = 243,366,986,142.72
  5. Step 5: Solve for x
    x = 243,366,986,142.72/537,710.40
  6. Step 6: Final answer
    x = 452,598.62

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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.