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Finding the Fourth Proportional to 314,774.18, 434,455.44 and 207,353.60

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Solution

The fourth proportional to 314,774.18, 434,455.44 and 207,353.60 is: 286,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,774.18 : 434,455.44 = 207,353.60 : x
  2. Step 2: Convert to fraction form
    314,774.18/434,455.44 = 207,353.60/x
  3. Step 3: Cross multiply
    314,774.18x = 434,455.44 × 207,353.60
  4. Step 4: Simplify right side
    314,774.18x = 90,085,899,523.58
  5. Step 5: Solve for x
    x = 90,085,899,523.58/314,774.18
  6. Step 6: Final answer
    x = 286,192.15

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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.