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Finding the Fourth Proportional to 315,953.46, 473,952.06 and 105,564.06

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Solution

The fourth proportional to 315,953.46, 473,952.06 and 105,564.06 is: 158,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,953.46 : 473,952.06 = 105,564.06 : x
  2. Step 2: Convert to fraction form
    315,953.46/473,952.06 = 105,564.06/x
  3. Step 3: Cross multiply
    315,953.46x = 473,952.06 × 105,564.06
  4. Step 4: Simplify right side
    315,953.46x = 50,032,303,698.96
  5. Step 5: Solve for x
    x = 50,032,303,698.96/315,953.46
  6. Step 6: Final answer
    x = 158,353.40

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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.