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Finding the Fourth Proportional to 517,715.04, 714,328.56 and 291,277.92

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Solution

The fourth proportional to 517,715.04, 714,328.56 and 291,277.92 is: 401,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,715.04 : 714,328.56 = 291,277.92 : x
  2. Step 2: Convert to fraction form
    517,715.04/714,328.56 = 291,277.92/x
  3. Step 3: Cross multiply
    517,715.04x = 714,328.56 × 291,277.92
  4. Step 4: Simplify right side
    517,715.04x = 208,068,137,153.40
  5. Step 5: Solve for x
    x = 208,068,137,153.40/517,715.04
  6. Step 6: Final answer
    x = 401,897.03

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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.