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Finding the Fourth Proportional to 470,000.60, 705,000.90 and 292,416.20

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Solution

The fourth proportional to 470,000.60, 705,000.90 and 292,416.20 is: 438,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,000.60 : 705,000.90 = 292,416.20 : x
  2. Step 2: Convert to fraction form
    470,000.60/705,000.90 = 292,416.20/x
  3. Step 3: Cross multiply
    470,000.60x = 705,000.90 × 292,416.20
  4. Step 4: Simplify right side
    470,000.60x = 206,153,684,174.58
  5. Step 5: Solve for x
    x = 206,153,684,174.58/470,000.60
  6. Step 6: Final answer
    x = 438,624.30

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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.