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Finding the Fourth Proportional to 540,792, 811,190.16 and 146,808

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Solution

The fourth proportional to 540,792, 811,190.16 and 146,808 is: 220,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,792 : 811,190.16 = 146,808 : x
  2. Step 2: Convert to fraction form
    540,792/811,190.16 = 146,808/x
  3. Step 3: Cross multiply
    540,792x = 811,190.16 × 146,808
  4. Step 4: Simplify right side
    540,792x = 119,089,205,009.28
  5. Step 5: Solve for x
    x = 119,089,205,009.28/540,792
  6. Step 6: Final answer
    x = 220,212.59

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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.