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Finding the Fourth Proportional to 468,114.02, 702,356.93 and 152,573.66

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Solution

The fourth proportional to 468,114.02, 702,356.93 and 152,573.66 is: 228,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,114.02 : 702,356.93 = 152,573.66 : x
  2. Step 2: Convert to fraction form
    468,114.02/702,356.93 = 152,573.66/x
  3. Step 3: Cross multiply
    468,114.02x = 702,356.93 × 152,573.66
  4. Step 4: Simplify right side
    468,114.02x = 107,161,166,673.60
  5. Step 5: Solve for x
    x = 107,161,166,673.60/468,114.02
  6. Step 6: Final answer
    x = 228,921.08

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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.