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Finding the Fourth Proportional to 290,492.16, 435,808.29 and 100,924.94

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Solution

The fourth proportional to 290,492.16, 435,808.29 and 100,924.94 is: 151,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,492.16 : 435,808.29 = 100,924.94 : x
  2. Step 2: Convert to fraction form
    290,492.16/435,808.29 = 100,924.94/x
  3. Step 3: Cross multiply
    290,492.16x = 435,808.29 × 100,924.94
  4. Step 4: Simplify right side
    290,492.16x = 43,983,923,340.71
  5. Step 5: Solve for x
    x = 43,983,923,340.71/290,492.16
  6. Step 6: Final answer
    x = 151,411.74

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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.