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Finding the Fourth Proportional to 456,875.46, 685,359.45 and 157,316.40

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Solution

The fourth proportional to 456,875.46, 685,359.45 and 157,316.40 is: 235,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,875.46 : 685,359.45 = 157,316.40 : x
  2. Step 2: Convert to fraction form
    456,875.46/685,359.45 = 157,316.40/x
  3. Step 3: Cross multiply
    456,875.46x = 685,359.45 × 157,316.40
  4. Step 4: Simplify right side
    456,875.46x = 107,818,281,379.98
  5. Step 5: Solve for x
    x = 107,818,281,379.98/456,875.46
  6. Step 6: Final answer
    x = 235,990.53

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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.