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Finding the Fourth Proportional to 313,054.02, 469,654.74 and 249,253.47

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Solution

The fourth proportional to 313,054.02, 469,654.74 and 249,253.47 is: 373,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,054.02 : 469,654.74 = 249,253.47 : x
  2. Step 2: Convert to fraction form
    313,054.02/469,654.74 = 249,253.47/x
  3. Step 3: Cross multiply
    313,054.02x = 469,654.74 × 249,253.47
  4. Step 4: Simplify right side
    313,054.02x = 117,063,073,646.95
  5. Step 5: Solve for x
    x = 117,063,073,646.95/313,054.02
  6. Step 6: Final answer
    x = 373,938.89

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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.