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Finding the Fourth Proportional to 353,498.80, 529,470.60 and 314,100.40

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Solution

The fourth proportional to 353,498.80, 529,470.60 and 314,100.40 is: 470,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,498.80 : 529,470.60 = 314,100.40 : x
  2. Step 2: Convert to fraction form
    353,498.80/529,470.60 = 314,100.40/x
  3. Step 3: Cross multiply
    353,498.80x = 529,470.60 × 314,100.40
  4. Step 4: Simplify right side
    353,498.80x = 166,306,927,248.24
  5. Step 5: Solve for x
    x = 166,306,927,248.24/353,498.80
  6. Step 6: Final answer
    x = 470,459.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.