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Finding the Fourth Proportional to 614,957.40, 922,824.90 and 362,237.40

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Solution

The fourth proportional to 614,957.40, 922,824.90 and 362,237.40 is: 543,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,957.40 : 922,824.90 = 362,237.40 : x
  2. Step 2: Convert to fraction form
    614,957.40/922,824.90 = 362,237.40/x
  3. Step 3: Cross multiply
    614,957.40x = 922,824.90 × 362,237.40
  4. Step 4: Simplify right side
    614,957.40x = 334,281,692,431.26
  5. Step 5: Solve for x
    x = 334,281,692,431.26/614,957.40
  6. Step 6: Final answer
    x = 543,585.12

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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.