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Finding the Fourth Proportional to 314,063.52, 433,851.57 and 243,355.38

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Solution

The fourth proportional to 314,063.52, 433,851.57 and 243,355.38 is: 336,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,063.52 : 433,851.57 = 243,355.38 : x
  2. Step 2: Convert to fraction form
    314,063.52/433,851.57 = 243,355.38/x
  3. Step 3: Cross multiply
    314,063.52x = 433,851.57 × 243,355.38
  4. Step 4: Simplify right side
    314,063.52x = 105,580,113,680.95
  5. Step 5: Solve for x
    x = 105,580,113,680.95/314,063.52
  6. Step 6: Final answer
    x = 336,174.39

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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.