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Finding the Fourth Proportional to 294,624.51, 442,130.46 and 161,598

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Solution

The fourth proportional to 294,624.51, 442,130.46 and 161,598 is: 242,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,624.51 : 442,130.46 = 161,598 : x
  2. Step 2: Convert to fraction form
    294,624.51/442,130.46 = 161,598/x
  3. Step 3: Cross multiply
    294,624.51x = 442,130.46 × 161,598
  4. Step 4: Simplify right side
    294,624.51x = 71,447,398,075.08
  5. Step 5: Solve for x
    x = 71,447,398,075.08/294,624.51
  6. Step 6: Final answer
    x = 242,503.24

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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.