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Finding the Fourth Proportional to 556,948.19, 768,567.91 and 302,293.91

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Solution

The fourth proportional to 556,948.19, 768,567.91 and 302,293.91 is: 417,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,948.19 : 768,567.91 = 302,293.91 : x
  2. Step 2: Convert to fraction form
    556,948.19/768,567.91 = 302,293.91/x
  3. Step 3: Cross multiply
    556,948.19x = 768,567.91 × 302,293.91
  4. Step 4: Simplify right side
    556,948.19x = 232,333,398,614.43
  5. Step 5: Solve for x
    x = 232,333,398,614.43/556,948.19
  6. Step 6: Final answer
    x = 417,154.42

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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.