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Finding the Fourth Proportional to 517,530.04, 714,184.14 and 291,175

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Solution

The fourth proportional to 517,530.04, 714,184.14 and 291,175 is: 401,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,530.04 : 714,184.14 = 291,175 : x
  2. Step 2: Convert to fraction form
    517,530.04/714,184.14 = 291,175/x
  3. Step 3: Cross multiply
    517,530.04x = 714,184.14 × 291,175
  4. Step 4: Simplify right side
    517,530.04x = 207,952,566,964.50
  5. Step 5: Solve for x
    x = 207,952,566,964.50/517,530.04
  6. Step 6: Final answer
    x = 401,817.38

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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.