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Finding the Fourth Proportional to 470,461.71, 649,094.13 and 266,480.22

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Solution

The fourth proportional to 470,461.71, 649,094.13 and 266,480.22 is: 367,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,461.71 : 649,094.13 = 266,480.22 : x
  2. Step 2: Convert to fraction form
    470,461.71/649,094.13 = 266,480.22/x
  3. Step 3: Cross multiply
    470,461.71x = 649,094.13 × 266,480.22
  4. Step 4: Simplify right side
    470,461.71x = 172,970,746,563.11
  5. Step 5: Solve for x
    x = 172,970,746,563.11/470,461.71
  6. Step 6: Final answer
    x = 367,661.69

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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.