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Finding the Fourth Proportional to 314,398.41, 433,929.59 and 178,445.08

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Solution

The fourth proportional to 314,398.41, 433,929.59 and 178,445.08 is: 246,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,398.41 : 433,929.59 = 178,445.08 : x
  2. Step 2: Convert to fraction form
    314,398.41/433,929.59 = 178,445.08/x
  3. Step 3: Cross multiply
    314,398.41x = 433,929.59 × 178,445.08
  4. Step 4: Simplify right side
    314,398.41x = 77,432,600,401.92
  5. Step 5: Solve for x
    x = 77,432,600,401.92/314,398.41
  6. Step 6: Final answer
    x = 246,288.14

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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.