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Finding the Fourth Proportional to 452,300.16, 678,528.48 and 152,782.92

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Solution

The fourth proportional to 452,300.16, 678,528.48 and 152,782.92 is: 229,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,300.16 : 678,528.48 = 152,782.92 : x
  2. Step 2: Convert to fraction form
    452,300.16/678,528.48 = 152,782.92/x
  3. Step 3: Cross multiply
    452,300.16x = 678,528.48 × 152,782.92
  4. Step 4: Simplify right side
    452,300.16x = 103,667,562,477.56
  5. Step 5: Solve for x
    x = 103,667,562,477.56/452,300.16
  6. Step 6: Final answer
    x = 229,200.81

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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.