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Finding the Fourth Proportional to 289,294.77, 433,970.70 and 99,730.17

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Solution

The fourth proportional to 289,294.77, 433,970.70 and 99,730.17 is: 149,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,294.77 : 433,970.70 = 99,730.17 : x
  2. Step 2: Convert to fraction form
    289,294.77/433,970.70 = 99,730.17/x
  3. Step 3: Cross multiply
    289,294.77x = 433,970.70 × 99,730.17
  4. Step 4: Simplify right side
    289,294.77x = 43,279,971,312.03
  5. Step 5: Solve for x
    x = 43,279,971,312.03/289,294.77
  6. Step 6: Final answer
    x = 149,605.09

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1.5x scale

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.