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Finding the Fourth Proportional to 346,281, 477,896.96 and 195,407.16

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Solution

The fourth proportional to 346,281, 477,896.96 and 195,407.16 is: 269,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,281 : 477,896.96 = 195,407.16 : x
  2. Step 2: Convert to fraction form
    346,281/477,896.96 = 195,407.16/x
  3. Step 3: Cross multiply
    346,281x = 477,896.96 × 195,407.16
  4. Step 4: Simplify right side
    346,281x = 93,384,487,726.23
  5. Step 5: Solve for x
    x = 93,384,487,726.23/346,281
  6. Step 6: Final answer
    x = 269,678.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.