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Finding the Fourth Proportional to 585,461.32, 877,593.76 and 332,206.81

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Solution

The fourth proportional to 585,461.32, 877,593.76 and 332,206.81 is: 497,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,461.32 : 877,593.76 = 332,206.81 : x
  2. Step 2: Convert to fraction form
    585,461.32/877,593.76 = 332,206.81/x
  3. Step 3: Cross multiply
    585,461.32x = 877,593.76 × 332,206.81
  4. Step 4: Simplify right side
    585,461.32x = 291,542,623,485.51
  5. Step 5: Solve for x
    x = 291,542,623,485.51/585,461.32
  6. Step 6: Final answer
    x = 497,970.77

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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.