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Finding the Fourth Proportional to 470,066.31, 648,731.67 and 266,153.16

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Solution

The fourth proportional to 470,066.31, 648,731.67 and 266,153.16 is: 367,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,066.31 : 648,731.67 = 266,153.16 : x
  2. Step 2: Convert to fraction form
    470,066.31/648,731.67 = 266,153.16/x
  3. Step 3: Cross multiply
    470,066.31x = 648,731.67 × 266,153.16
  4. Step 4: Simplify right side
    470,066.31x = 172,661,983,962.58
  5. Step 5: Solve for x
    x = 172,661,983,962.58/470,066.31
  6. Step 6: Final answer
    x = 367,314.10

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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.