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Finding the Fourth Proportional to 614,909.40, 922,752.90 and 362,189.40

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Solution

The fourth proportional to 614,909.40, 922,752.90 and 362,189.40 is: 543,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,909.40 : 922,752.90 = 362,189.40 : x
  2. Step 2: Convert to fraction form
    614,909.40/922,752.90 = 362,189.40/x
  3. Step 3: Cross multiply
    614,909.40x = 922,752.90 × 362,189.40
  4. Step 4: Simplify right side
    614,909.40x = 334,211,319,199.26
  5. Step 5: Solve for x
    x = 334,211,319,199.26/614,909.40
  6. Step 6: Final answer
    x = 543,513.11

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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.