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Finding the Fourth Proportional to 556,866.24, 768,477.96 and 302,217.72

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Solution

The fourth proportional to 556,866.24, 768,477.96 and 302,217.72 is: 417,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,866.24 : 768,477.96 = 302,217.72 : x
  2. Step 2: Convert to fraction form
    556,866.24/768,477.96 = 302,217.72/x
  3. Step 3: Cross multiply
    556,866.24x = 768,477.96 × 302,217.72
  4. Step 4: Simplify right side
    556,866.24x = 232,247,656,941.45
  5. Step 5: Solve for x
    x = 232,247,656,941.45/556,866.24
  6. Step 6: Final answer
    x = 417,061.84

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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.