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Finding the Fourth Proportional to 470,258.60, 648,999.18 and 266,359.11

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Solution

The fourth proportional to 470,258.60, 648,999.18 and 266,359.11 is: 367,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,258.60 : 648,999.18 = 266,359.11 : x
  2. Step 2: Convert to fraction form
    470,258.60/648,999.18 = 266,359.11/x
  3. Step 3: Cross multiply
    470,258.60x = 648,999.18 × 266,359.11
  4. Step 4: Simplify right side
    470,258.60x = 172,866,843,975.53
  5. Step 5: Solve for x
    x = 172,866,843,975.53/470,258.60
  6. Step 6: Final answer
    x = 367,599.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.