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Finding the Fourth Proportional to 325,809.60, 488,714.40 and 314,923.20

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Solution

The fourth proportional to 325,809.60, 488,714.40 and 314,923.20 is: 472,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,809.60 : 488,714.40 = 314,923.20 : x
  2. Step 2: Convert to fraction form
    325,809.60/488,714.40 = 314,923.20/x
  3. Step 3: Cross multiply
    325,809.60x = 488,714.40 × 314,923.20
  4. Step 4: Simplify right side
    325,809.60x = 153,907,502,734.08
  5. Step 5: Solve for x
    x = 153,907,502,734.08/325,809.60
  6. Step 6: Final answer
    x = 472,384.80

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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.