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Finding the Fourth Proportional to 364,851.30, 546,110.55 and 259,875.30

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Solution

The fourth proportional to 364,851.30, 546,110.55 and 259,875.30 is: 388,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,851.30 : 546,110.55 = 259,875.30 : x
  2. Step 2: Convert to fraction form
    364,851.30/546,110.55 = 259,875.30/x
  3. Step 3: Cross multiply
    364,851.30x = 546,110.55 × 259,875.30
  4. Step 4: Simplify right side
    364,851.30x = 141,920,643,014.42
  5. Step 5: Solve for x
    x = 141,920,643,014.42/364,851.30
  6. Step 6: Final answer
    x = 388,982.15

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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.