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Finding the Fourth Proportional to 473,007.04, 708,894.48 and 192,196

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Solution

The fourth proportional to 473,007.04, 708,894.48 and 192,196 is: 288,043.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,007.04 : 708,894.48 = 192,196 : x
  2. Step 2: Convert to fraction form
    473,007.04/708,894.48 = 192,196/x
  3. Step 3: Cross multiply
    473,007.04x = 708,894.48 × 192,196
  4. Step 4: Simplify right side
    473,007.04x = 136,246,683,478.08
  5. Step 5: Solve for x
    x = 136,246,683,478.08/473,007.04
  6. Step 6: Final answer
    x = 288,043.67

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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.