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Finding the Fourth Proportional to 314,055.72, 433,384.44 and 170,815.56

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Solution

The fourth proportional to 314,055.72, 433,384.44 and 170,815.56 is: 235,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,055.72 : 433,384.44 = 170,815.56 : x
  2. Step 2: Convert to fraction form
    314,055.72/433,384.44 = 170,815.56/x
  3. Step 3: Cross multiply
    314,055.72x = 433,384.44 × 170,815.56
  4. Step 4: Simplify right side
    314,055.72x = 74,028,805,813.89
  5. Step 5: Solve for x
    x = 74,028,805,813.89/314,055.72
  6. Step 6: Final answer
    x = 235,718.70

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1.5x scale

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.