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Finding the Fourth Proportional to 517,570.22, 714,290.64 and 291,259.46

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Solution

The fourth proportional to 517,570.22, 714,290.64 and 291,259.46 is: 401,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,570.22 : 714,290.64 = 291,259.46 : x
  2. Step 2: Convert to fraction form
    517,570.22/714,290.64 = 291,259.46/x
  3. Step 3: Cross multiply
    517,570.22x = 714,290.64 × 291,259.46
  4. Step 4: Simplify right side
    517,570.22x = 208,043,906,089.45
  5. Step 5: Solve for x
    x = 208,043,906,089.45/517,570.22
  6. Step 6: Final answer
    x = 401,962.67

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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.