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Finding the Fourth Proportional to 532,200, 734,436 and 362,730.18

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Solution

The fourth proportional to 532,200, 734,436 and 362,730.18 is: 500,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,200 : 734,436 = 362,730.18 : x
  2. Step 2: Convert to fraction form
    532,200/734,436 = 362,730.18/x
  3. Step 3: Cross multiply
    532,200x = 734,436 × 362,730.18
  4. Step 4: Simplify right side
    532,200x = 266,402,102,478.48
  5. Step 5: Solve for x
    x = 266,402,102,478.48/532,200
  6. Step 6: Final answer
    x = 500,567.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.