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Finding the Fourth Proportional to 314,029.71, 433,473.73 and 186,705

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Solution

The fourth proportional to 314,029.71, 433,473.73 and 186,705 is: 257,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,029.71 : 433,473.73 = 186,705 : x
  2. Step 2: Convert to fraction form
    314,029.71/433,473.73 = 186,705/x
  3. Step 3: Cross multiply
    314,029.71x = 433,473.73 × 186,705
  4. Step 4: Simplify right side
    314,029.71x = 80,931,712,292.89
  5. Step 5: Solve for x
    x = 80,931,712,292.89/314,029.71
  6. Step 6: Final answer
    x = 257,719.92

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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.