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Finding the Fourth Proportional to 470,111.62, 648,767.16 and 255,264.78

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Solution

The fourth proportional to 470,111.62, 648,767.16 and 255,264.78 is: 352,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,111.62 : 648,767.16 = 255,264.78 : x
  2. Step 2: Convert to fraction form
    470,111.62/648,767.16 = 255,264.78/x
  3. Step 3: Cross multiply
    470,111.62x = 648,767.16 × 255,264.78
  4. Step 4: Simplify right side
    470,111.62x = 165,607,406,368.63
  5. Step 5: Solve for x
    x = 165,607,406,368.63/470,111.62
  6. Step 6: Final answer
    x = 352,272.52

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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.