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Finding the Fourth Proportional to 346,231, 477,798.90 and 187,255

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Solution

The fourth proportional to 346,231, 477,798.90 and 187,255 is: 258,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,231 : 477,798.90 = 187,255 : x
  2. Step 2: Convert to fraction form
    346,231/477,798.90 = 187,255/x
  3. Step 3: Cross multiply
    346,231x = 477,798.90 × 187,255
  4. Step 4: Simplify right side
    346,231x = 89,470,233,019.50
  5. Step 5: Solve for x
    x = 89,470,233,019.50/346,231
  6. Step 6: Final answer
    x = 258,411.96

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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.