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Finding the Fourth Proportional to 364,482.34, 546,280.26 and 257,897.01

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Solution

The fourth proportional to 364,482.34, 546,280.26 and 257,897.01 is: 386,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,482.34 : 546,280.26 = 257,897.01 : x
  2. Step 2: Convert to fraction form
    364,482.34/546,280.26 = 257,897.01/x
  3. Step 3: Cross multiply
    364,482.34x = 546,280.26 × 257,897.01
  4. Step 4: Simplify right side
    364,482.34x = 140,884,043,684.63
  5. Step 5: Solve for x
    x = 140,884,043,684.63/364,482.34
  6. Step 6: Final answer
    x = 386,531.88

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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.