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Finding the Fourth Proportional to 314,484.61, 473,827.51 and 284,537.24

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Solution

The fourth proportional to 314,484.61, 473,827.51 and 284,537.24 is: 428,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,484.61 : 473,827.51 = 284,537.24 : x
  2. Step 2: Convert to fraction form
    314,484.61/473,827.51 = 284,537.24/x
  3. Step 3: Cross multiply
    314,484.61x = 473,827.51 × 284,537.24
  4. Step 4: Simplify right side
    314,484.61x = 134,821,571,694.86
  5. Step 5: Solve for x
    x = 134,821,571,694.86/314,484.61
  6. Step 6: Final answer
    x = 428,706.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.