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Finding the Fourth Proportional to 1,105,164, 1,658,018.16 and 357,210

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Solution

The fourth proportional to 1,105,164, 1,658,018.16 and 357,210 is: 535,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,164 : 1,658,018.16 = 357,210 : x
  2. Step 2: Convert to fraction form
    1,105,164/1,658,018.16 = 357,210/x
  3. Step 3: Cross multiply
    1,105,164x = 1,658,018.16 × 357,210
  4. Step 4: Simplify right side
    1,105,164x = 592,260,666,933.60
  5. Step 5: Solve for x
    x = 592,260,666,933.60/1,105,164
  6. Step 6: Final answer
    x = 535,902.97

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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.