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Finding the Fourth Proportional to 463,714.12, 694,665.62 and 319,594.16

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Solution

The fourth proportional to 463,714.12, 694,665.62 and 319,594.16 is: 478,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,714.12 : 694,665.62 = 319,594.16 : x
  2. Step 2: Convert to fraction form
    463,714.12/694,665.62 = 319,594.16/x
  3. Step 3: Cross multiply
    463,714.12x = 694,665.62 × 319,594.16
  4. Step 4: Simplify right side
    463,714.12x = 222,011,075,304.78
  5. Step 5: Solve for x
    x = 222,011,075,304.78/463,714.12
  6. Step 6: Final answer
    x = 478,767.12

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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.