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Finding the Fourth Proportional to 346,594.82, 478,291.50 and 189,424.53

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Solution

The fourth proportional to 346,594.82, 478,291.50 and 189,424.53 is: 261,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,594.82 : 478,291.50 = 189,424.53 : x
  2. Step 2: Convert to fraction form
    346,594.82/478,291.50 = 189,424.53/x
  3. Step 3: Cross multiply
    346,594.82x = 478,291.50 × 189,424.53
  4. Step 4: Simplify right side
    346,594.82x = 90,600,142,590.50
  5. Step 5: Solve for x
    x = 90,600,142,590.50/346,594.82
  6. Step 6: Final answer
    x = 261,400.74

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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.