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Finding the Fourth Proportional to 517,734.04, 714,354.78 and 291,296.92

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Solution

The fourth proportional to 517,734.04, 714,354.78 and 291,296.92 is: 401,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,734.04 : 714,354.78 = 291,296.92 : x
  2. Step 2: Convert to fraction form
    517,734.04/714,354.78 = 291,296.92/x
  3. Step 3: Cross multiply
    517,734.04x = 714,354.78 × 291,296.92
  4. Step 4: Simplify right side
    517,734.04x = 208,089,347,201.28
  5. Step 5: Solve for x
    x = 208,089,347,201.28/517,734.04
  6. Step 6: Final answer
    x = 401,923.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.