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Finding the Fourth Proportional to 314,394.16, 433,037.18 and 241,657.78

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Solution

The fourth proportional to 314,394.16, 433,037.18 and 241,657.78 is: 332,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,394.16 : 433,037.18 = 241,657.78 : x
  2. Step 2: Convert to fraction form
    314,394.16/433,037.18 = 241,657.78/x
  3. Step 3: Cross multiply
    314,394.16x = 433,037.18 × 241,657.78
  4. Step 4: Simplify right side
    314,394.16x = 104,646,803,576.26
  5. Step 5: Solve for x
    x = 104,646,803,576.26/314,394.16
  6. Step 6: Final answer
    x = 332,852.25

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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.