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Finding the Fourth Proportional to 314,159.81, 433,535.76 and 170,916.57

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Solution

The fourth proportional to 314,159.81, 433,535.76 and 170,916.57 is: 235,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,159.81 : 433,535.76 = 170,916.57 : x
  2. Step 2: Convert to fraction form
    314,159.81/433,535.76 = 170,916.57/x
  3. Step 3: Cross multiply
    314,159.81x = 433,535.76 × 170,916.57
  4. Step 4: Simplify right side
    314,159.81x = 74,098,445,071.54
  5. Step 5: Solve for x
    x = 74,098,445,071.54/314,159.81
  6. Step 6: Final answer
    x = 235,862.27

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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.