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Finding the Fourth Proportional to 556,051.80, 767,352.78 and 301,401.84

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Solution

The fourth proportional to 556,051.80, 767,352.78 and 301,401.84 is: 415,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,051.80 : 767,352.78 = 301,401.84 : x
  2. Step 2: Convert to fraction form
    556,051.80/767,352.78 = 301,401.84/x
  3. Step 3: Cross multiply
    556,051.80x = 767,352.78 × 301,401.84
  4. Step 4: Simplify right side
    556,051.80x = 231,281,539,821.12
  5. Step 5: Solve for x
    x = 231,281,539,821.12/556,051.80
  6. Step 6: Final answer
    x = 415,935.24

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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.