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Finding the Fourth Proportional to 365,036.64, 546,792 and 293,572.80

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Solution

The fourth proportional to 365,036.64, 546,792 and 293,572.80 is: 439,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,036.64 : 546,792 = 293,572.80 : x
  2. Step 2: Convert to fraction form
    365,036.64/546,792 = 293,572.80/x
  3. Step 3: Cross multiply
    365,036.64x = 546,792 × 293,572.80
  4. Step 4: Simplify right side
    365,036.64x = 160,523,258,457.60
  5. Step 5: Solve for x
    x = 160,523,258,457.60/365,036.64
  6. Step 6: Final answer
    x = 439,745.61

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Why These Related Problems?

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