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Finding the Fourth Proportional to 517,455.74, 714,087.80 and 291,101.24

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Solution

The fourth proportional to 517,455.74, 714,087.80 and 291,101.24 is: 401,719.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,455.74 : 714,087.80 = 291,101.24 : x
  2. Step 2: Convert to fraction form
    517,455.74/714,087.80 = 291,101.24/x
  3. Step 3: Cross multiply
    517,455.74x = 714,087.80 × 291,101.24
  4. Step 4: Simplify right side
    517,455.74x = 207,871,844,048.87
  5. Step 5: Solve for x
    x = 207,871,844,048.87/517,455.74
  6. Step 6: Final answer
    x = 401,719.08

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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.