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Finding the Fourth Proportional to 556,914.16, 768,542.12 and 302,265.48

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Solution

The fourth proportional to 556,914.16, 768,542.12 and 302,265.48 is: 417,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,914.16 : 768,542.12 = 302,265.48 : x
  2. Step 2: Convert to fraction form
    556,914.16/768,542.12 = 302,265.48/x
  3. Step 3: Cross multiply
    556,914.16x = 768,542.12 × 302,265.48
  4. Step 4: Simplify right side
    556,914.16x = 232,303,752,802.02
  5. Step 5: Solve for x
    x = 232,303,752,802.02/556,914.16
  6. Step 6: Final answer
    x = 417,126.68

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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.