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Finding the Fourth Proportional to 525,410.25, 725,066.96 and 299,055.75

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Solution

The fourth proportional to 525,410.25, 725,066.96 and 299,055.75 is: 412,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,410.25 : 725,066.96 = 299,055.75 : x
  2. Step 2: Convert to fraction form
    525,410.25/725,066.96 = 299,055.75/x
  3. Step 3: Cross multiply
    525,410.25x = 725,066.96 × 299,055.75
  4. Step 4: Simplify right side
    525,410.25x = 216,835,443,523.02
  5. Step 5: Solve for x
    x = 216,835,443,523.02/525,410.25
  6. Step 6: Final answer
    x = 412,697.40

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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.