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Finding the Fourth Proportional to 1,105,188, 1,657,782 and 357,234

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Solution

The fourth proportional to 1,105,188, 1,657,782 and 357,234 is: 535,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,188 : 1,657,782 = 357,234 : x
  2. Step 2: Convert to fraction form
    1,105,188/1,657,782 = 357,234/x
  3. Step 3: Cross multiply
    1,105,188x = 1,657,782 × 357,234
  4. Step 4: Simplify right side
    1,105,188x = 592,216,094,988
  5. Step 5: Solve for x
    x = 592,216,094,988/1,105,188
  6. Step 6: Final answer
    x = 535,851

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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.