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Finding the Fourth Proportional to 556,332.10, 767,738.29 and 301,683.49

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Solution

The fourth proportional to 556,332.10, 767,738.29 and 301,683.49 is: 416,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,332.10 : 767,738.29 = 301,683.49 : x
  2. Step 2: Convert to fraction form
    556,332.10/767,738.29 = 301,683.49/x
  3. Step 3: Cross multiply
    556,332.10x = 767,738.29 × 301,683.49
  4. Step 4: Simplify right side
    556,332.10x = 231,613,964,060.28
  5. Step 5: Solve for x
    x = 231,613,964,060.28/556,332.10
  6. Step 6: Final answer
    x = 416,323.21

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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.