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Finding the Fourth Proportional to 615,077.40, 922,616.10 and 282,653.40

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Solution

The fourth proportional to 615,077.40, 922,616.10 and 282,653.40 is: 423,980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,077.40 : 922,616.10 = 282,653.40 : x
  2. Step 2: Convert to fraction form
    615,077.40/922,616.10 = 282,653.40/x
  3. Step 3: Cross multiply
    615,077.40x = 922,616.10 × 282,653.40
  4. Step 4: Simplify right side
    615,077.40x = 260,780,577,559.74
  5. Step 5: Solve for x
    x = 260,780,577,559.74/615,077.40
  6. Step 6: Final answer
    x = 423,980.10

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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.