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Finding the Fourth Proportional to 557,017.12, 768,684.60 and 302,368.48

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Solution

The fourth proportional to 557,017.12, 768,684.60 and 302,368.48 is: 417,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,017.12 : 768,684.60 = 302,368.48 : x
  2. Step 2: Convert to fraction form
    557,017.12/768,684.60 = 302,368.48/x
  3. Step 3: Cross multiply
    557,017.12x = 768,684.60 × 302,368.48
  4. Step 4: Simplify right side
    557,017.12x = 232,425,994,101.41
  5. Step 5: Solve for x
    x = 232,425,994,101.41/557,017.12
  6. Step 6: Final answer
    x = 417,269.03

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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.