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Finding the Fourth Proportional to 314,409.92, 433,836.80 and 180,248

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Solution

The fourth proportional to 314,409.92, 433,836.80 and 180,248 is: 248,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,409.92 : 433,836.80 = 180,248 : x
  2. Step 2: Convert to fraction form
    314,409.92/433,836.80 = 180,248/x
  3. Step 3: Cross multiply
    314,409.92x = 433,836.80 × 180,248
  4. Step 4: Simplify right side
    314,409.92x = 78,198,215,526.40
  5. Step 5: Solve for x
    x = 78,198,215,526.40/314,409.92
  6. Step 6: Final answer
    x = 248,714.21

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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.