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Finding the Fourth Proportional to 315,930, 473,969.88 and 94,319.76

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Solution

The fourth proportional to 315,930, 473,969.88 and 94,319.76 is: 141,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,930 : 473,969.88 = 94,319.76 : x
  2. Step 2: Convert to fraction form
    315,930/473,969.88 = 94,319.76/x
  3. Step 3: Cross multiply
    315,930x = 473,969.88 × 94,319.76
  4. Step 4: Simplify right side
    315,930x = 44,704,725,328.83
  5. Step 5: Solve for x
    x = 44,704,725,328.83/315,930
  6. Step 6: Final answer
    x = 141,502.00

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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.