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Finding the Fourth Proportional to 345,678.30, 477,256.23 and 282,167.10

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Solution

The fourth proportional to 345,678.30, 477,256.23 and 282,167.10 is: 389,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,678.30 : 477,256.23 = 282,167.10 : x
  2. Step 2: Convert to fraction form
    345,678.30/477,256.23 = 282,167.10/x
  3. Step 3: Cross multiply
    345,678.30x = 477,256.23 × 282,167.10
  4. Step 4: Simplify right side
    345,678.30x = 134,666,006,376.03
  5. Step 5: Solve for x
    x = 134,666,006,376.03/345,678.30
  6. Step 6: Final answer
    x = 389,570.32

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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.