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Finding the Fourth Proportional to 821,038.40, 1,231,672.80 and 260,014.40

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Solution

The fourth proportional to 821,038.40, 1,231,672.80 and 260,014.40 is: 390,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,038.40 : 1,231,672.80 = 260,014.40 : x
  2. Step 2: Convert to fraction form
    821,038.40/1,231,672.80 = 260,014.40/x
  3. Step 3: Cross multiply
    821,038.40x = 1,231,672.80 × 260,014.40
  4. Step 4: Simplify right side
    821,038.40x = 320,252,664,088.32
  5. Step 5: Solve for x
    x = 320,252,664,088.32/821,038.40
  6. Step 6: Final answer
    x = 390,058.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.