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Finding the Fourth Proportional to 460,875.60, 691,313.40 and 145,364.40

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Solution

The fourth proportional to 460,875.60, 691,313.40 and 145,364.40 is: 218,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,875.60 : 691,313.40 = 145,364.40 : x
  2. Step 2: Convert to fraction form
    460,875.60/691,313.40 = 145,364.40/x
  3. Step 3: Cross multiply
    460,875.60x = 691,313.40 × 145,364.40
  4. Step 4: Simplify right side
    460,875.60x = 100,492,357,602.96
  5. Step 5: Solve for x
    x = 100,492,357,602.96/460,875.60
  6. Step 6: Final answer
    x = 218,046.60

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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.