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Finding the Fourth Proportional to 407,931.84, 562,788.48 and 300,756.48

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Solution

The fourth proportional to 407,931.84, 562,788.48 and 300,756.48 is: 414,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,931.84 : 562,788.48 = 300,756.48 : x
  2. Step 2: Convert to fraction form
    407,931.84/562,788.48 = 300,756.48/x
  3. Step 3: Cross multiply
    407,931.84x = 562,788.48 × 300,756.48
  4. Step 4: Simplify right side
    407,931.84x = 169,262,282,229.35
  5. Step 5: Solve for x
    x = 169,262,282,229.35/407,931.84
  6. Step 6: Final answer
    x = 414,927.85

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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.