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Finding the Fourth Proportional to 284,386.12, 392,445.32 and 157,058.98

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Solution

The fourth proportional to 284,386.12, 392,445.32 and 157,058.98 is: 216,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,386.12 : 392,445.32 = 157,058.98 : x
  2. Step 2: Convert to fraction form
    284,386.12/392,445.32 = 157,058.98/x
  3. Step 3: Cross multiply
    284,386.12x = 392,445.32 × 157,058.98
  4. Step 4: Simplify right side
    284,386.12x = 61,637,061,664.97
  5. Step 5: Solve for x
    x = 61,637,061,664.97/284,386.12
  6. Step 6: Final answer
    x = 216,737.24

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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.