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Finding the Fourth Proportional to 314,740.91, 434,328.88 and 178,774.44

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Solution

The fourth proportional to 314,740.91, 434,328.88 and 178,774.44 is: 246,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,740.91 : 434,328.88 = 178,774.44 : x
  2. Step 2: Convert to fraction form
    314,740.91/434,328.88 = 178,774.44/x
  3. Step 3: Cross multiply
    314,740.91x = 434,328.88 × 178,774.44
  4. Step 4: Simplify right side
    314,740.91x = 77,646,900,222.16
  5. Step 5: Solve for x
    x = 77,646,900,222.16/314,740.91
  6. Step 6: Final answer
    x = 246,701.01

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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.