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Finding the Fourth Proportional to 468,212.40, 702,415.80 and 152,693.10

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Solution

The fourth proportional to 468,212.40, 702,415.80 and 152,693.10 is: 229,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,212.40 : 702,415.80 = 152,693.10 : x
  2. Step 2: Convert to fraction form
    468,212.40/702,415.80 = 152,693.10/x
  3. Step 3: Cross multiply
    468,212.40x = 702,415.80 × 152,693.10
  4. Step 4: Simplify right side
    468,212.40x = 107,254,045,990.98
  5. Step 5: Solve for x
    x = 107,254,045,990.98/468,212.40
  6. Step 6: Final answer
    x = 229,071.35

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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.