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Finding the Fourth Proportional to 514,857.15, 709,715.36 and 361,465.02

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Solution

The fourth proportional to 514,857.15, 709,715.36 and 361,465.02 is: 498,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,857.15 : 709,715.36 = 361,465.02 : x
  2. Step 2: Convert to fraction form
    514,857.15/709,715.36 = 361,465.02/x
  3. Step 3: Cross multiply
    514,857.15x = 709,715.36 × 361,465.02
  4. Step 4: Simplify right side
    514,857.15x = 256,537,274,989.38
  5. Step 5: Solve for x
    x = 256,537,274,989.38/514,857.15
  6. Step 6: Final answer
    x = 498,268.84

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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.