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Finding the Fourth Proportional to 312,019.12, 430,583.70 and 176,054.08

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Solution

The fourth proportional to 312,019.12, 430,583.70 and 176,054.08 is: 242,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,019.12 : 430,583.70 = 176,054.08 : x
  2. Step 2: Convert to fraction form
    312,019.12/430,583.70 = 176,054.08/x
  3. Step 3: Cross multiply
    312,019.12x = 430,583.70 × 176,054.08
  4. Step 4: Simplify right side
    312,019.12x = 75,806,017,166.50
  5. Step 5: Solve for x
    x = 75,806,017,166.50/312,019.12
  6. Step 6: Final answer
    x = 242,953.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.