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Finding the Fourth Proportional to 520,072.65, 780,108.98 and 319,743.45

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Solution

The fourth proportional to 520,072.65, 780,108.98 and 319,743.45 is: 479,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,072.65 : 780,108.98 = 319,743.45 : x
  2. Step 2: Convert to fraction form
    520,072.65/780,108.98 = 319,743.45/x
  3. Step 3: Cross multiply
    520,072.65x = 780,108.98 × 319,743.45
  4. Step 4: Simplify right side
    520,072.65x = 249,434,735,042.46
  5. Step 5: Solve for x
    x = 249,434,735,042.46/520,072.65
  6. Step 6: Final answer
    x = 479,615.18

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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.