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Finding the Fourth Proportional to 556,259.86, 767,606.38 and 314,593.12

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Solution

The fourth proportional to 556,259.86, 767,606.38 and 314,593.12 is: 434,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,259.86 : 767,606.38 = 314,593.12 : x
  2. Step 2: Convert to fraction form
    556,259.86/767,606.38 = 314,593.12/x
  3. Step 3: Cross multiply
    556,259.86x = 767,606.38 × 314,593.12
  4. Step 4: Simplify right side
    556,259.86x = 241,483,686,016.11
  5. Step 5: Solve for x
    x = 241,483,686,016.11/556,259.86
  6. Step 6: Final answer
    x = 434,120.28

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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.