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Finding the Fourth Proportional to 384,603.04, 576,905 and 100,293.34

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Solution

The fourth proportional to 384,603.04, 576,905 and 100,293.34 is: 150,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,603.04 : 576,905 = 100,293.34 : x
  2. Step 2: Convert to fraction form
    384,603.04/576,905 = 100,293.34/x
  3. Step 3: Cross multiply
    384,603.04x = 576,905 × 100,293.34
  4. Step 4: Simplify right side
    384,603.04x = 57,859,729,312.70
  5. Step 5: Solve for x
    x = 57,859,729,312.70/384,603.04
  6. Step 6: Final answer
    x = 150,440.12

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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.