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Finding the Fourth Proportional to 364,047.10, 546,070.65 and 257,758.90

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Solution

The fourth proportional to 364,047.10, 546,070.65 and 257,758.90 is: 386,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,047.10 : 546,070.65 = 257,758.90 : x
  2. Step 2: Convert to fraction form
    364,047.10/546,070.65 = 257,758.90/x
  3. Step 3: Cross multiply
    364,047.10x = 546,070.65 × 257,758.90
  4. Step 4: Simplify right side
    364,047.10x = 140,754,570,066.29
  5. Step 5: Solve for x
    x = 140,754,570,066.29/364,047.10
  6. Step 6: Final answer
    x = 386,638.35

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1.5x scale

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.