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Finding the Fourth Proportional to 314,064.72, 470,008.44 and 301,001.04

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Solution

The fourth proportional to 314,064.72, 470,008.44 and 301,001.04 is: 450,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,064.72 : 470,008.44 = 301,001.04 : x
  2. Step 2: Convert to fraction form
    314,064.72/470,008.44 = 301,001.04/x
  3. Step 3: Cross multiply
    314,064.72x = 470,008.44 × 301,001.04
  4. Step 4: Simplify right side
    314,064.72x = 141,473,029,248.78
  5. Step 5: Solve for x
    x = 141,473,029,248.78/314,064.72
  6. Step 6: Final answer
    x = 450,458.20

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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.