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Finding the Fourth Proportional to 413,603.47, 619,533.36 and 189,152.87

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Solution

The fourth proportional to 413,603.47, 619,533.36 and 189,152.87 is: 283,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,603.47 : 619,533.36 = 189,152.87 : x
  2. Step 2: Convert to fraction form
    413,603.47/619,533.36 = 189,152.87/x
  3. Step 3: Cross multiply
    413,603.47x = 619,533.36 × 189,152.87
  4. Step 4: Simplify right side
    413,603.47x = 117,186,513,491.95
  5. Step 5: Solve for x
    x = 117,186,513,491.95/413,603.47
  6. Step 6: Final answer
    x = 283,330.59

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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.