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Finding the Fourth Proportional to 364,312.40, 546,468.60 and 206,848.40

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Solution

The fourth proportional to 364,312.40, 546,468.60 and 206,848.40 is: 310,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,312.40 : 546,468.60 = 206,848.40 : x
  2. Step 2: Convert to fraction form
    364,312.40/546,468.60 = 206,848.40/x
  3. Step 3: Cross multiply
    364,312.40x = 546,468.60 × 206,848.40
  4. Step 4: Simplify right side
    364,312.40x = 113,036,155,560.24
  5. Step 5: Solve for x
    x = 113,036,155,560.24/364,312.40
  6. Step 6: Final answer
    x = 310,272.60

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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.