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Finding the Fourth Proportional to 429,805.42, 644,974.00 and 249,975.25

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Solution

The fourth proportional to 429,805.42, 644,974.00 and 249,975.25 is: 375,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,805.42 : 644,974.00 = 249,975.25 : x
  2. Step 2: Convert to fraction form
    429,805.42/644,974.00 = 249,975.25/x
  3. Step 3: Cross multiply
    429,805.42x = 644,974.00 × 249,975.25
  4. Step 4: Simplify right side
    429,805.42x = 161,227,534,656.13
  5. Step 5: Solve for x
    x = 161,227,534,656.13/429,805.42
  6. Step 6: Final answer
    x = 375,117.50

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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.