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Finding the Fourth Proportional to 461,756.23, 692,703.59 and 162,184

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Solution

The fourth proportional to 461,756.23, 692,703.59 and 162,184 is: 243,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,756.23 : 692,703.59 = 162,184 : x
  2. Step 2: Convert to fraction form
    461,756.23/692,703.59 = 162,184/x
  3. Step 3: Cross multiply
    461,756.23x = 692,703.59 × 162,184
  4. Step 4: Simplify right side
    461,756.23x = 112,345,439,040.56
  5. Step 5: Solve for x
    x = 112,345,439,040.56/461,756.23
  6. Step 6: Final answer
    x = 243,300.32

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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.