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Finding the Fourth Proportional to 362,075.40, 542,894.94 and 162,359.64

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Solution

The fourth proportional to 362,075.40, 542,894.94 and 162,359.64 is: 243,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,075.40 : 542,894.94 = 162,359.64 : x
  2. Step 2: Convert to fraction form
    362,075.40/542,894.94 = 162,359.64/x
  3. Step 3: Cross multiply
    362,075.40x = 542,894.94 × 162,359.64
  4. Step 4: Simplify right side
    362,075.40x = 88,144,227,016.22
  5. Step 5: Solve for x
    x = 88,144,227,016.22/362,075.40
  6. Step 6: Final answer
    x = 243,441.63

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1.5x scale

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.