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Finding the Fourth Proportional to 567,343.20, 782,714.16 and 325,538.40

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Solution

The fourth proportional to 567,343.20, 782,714.16 and 325,538.40 is: 449,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,343.20 : 782,714.16 = 325,538.40 : x
  2. Step 2: Convert to fraction form
    567,343.20/782,714.16 = 325,538.40/x
  3. Step 3: Cross multiply
    567,343.20x = 782,714.16 × 325,538.40
  4. Step 4: Simplify right side
    567,343.20x = 254,803,515,303.74
  5. Step 5: Solve for x
    x = 254,803,515,303.74/567,343.20
  6. Step 6: Final answer
    x = 449,117.07

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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.