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Finding the Fourth Proportional to 343,465.25, 514,547.57 and 229,268.71

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Solution

The fourth proportional to 343,465.25, 514,547.57 and 229,268.71 is: 343,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,465.25 : 514,547.57 = 229,268.71 : x
  2. Step 2: Convert to fraction form
    343,465.25/514,547.57 = 229,268.71/x
  3. Step 3: Cross multiply
    343,465.25x = 514,547.57 × 229,268.71
  4. Step 4: Simplify right side
    343,465.25x = 117,969,658,823.89
  5. Step 5: Solve for x
    x = 117,969,658,823.89/343,465.25
  6. Step 6: Final answer
    x = 343,468.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.