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Finding the Fourth Proportional to 460,146.32, 634,904.31 and 290,282

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Solution

The fourth proportional to 460,146.32, 634,904.31 and 290,282 is: 400,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,146.32 : 634,904.31 = 290,282 : x
  2. Step 2: Convert to fraction form
    460,146.32/634,904.31 = 290,282/x
  3. Step 3: Cross multiply
    460,146.32x = 634,904.31 × 290,282
  4. Step 4: Simplify right side
    460,146.32x = 184,301,292,915.42
  5. Step 5: Solve for x
    x = 184,301,292,915.42/460,146.32
  6. Step 6: Final answer
    x = 400,527.58

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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.