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Finding the Fourth Proportional to 786,276, 1,085,061.60 and 428,580

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Solution

The fourth proportional to 786,276, 1,085,061.60 and 428,580 is: 591,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,276 : 1,085,061.60 = 428,580 : x
  2. Step 2: Convert to fraction form
    786,276/1,085,061.60 = 428,580/x
  3. Step 3: Cross multiply
    786,276x = 1,085,061.60 × 428,580
  4. Step 4: Simplify right side
    786,276x = 465,035,700,528.00
  5. Step 5: Solve for x
    x = 465,035,700,528.00/786,276
  6. Step 6: Final answer
    x = 591,440.79

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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.