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Finding the Fourth Proportional to 633,184.92, 873,786.48 and 346,705.02

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Solution

The fourth proportional to 633,184.92, 873,786.48 and 346,705.02 is: 478,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,184.92 : 873,786.48 = 346,705.02 : x
  2. Step 2: Convert to fraction form
    633,184.92/873,786.48 = 346,705.02/x
  3. Step 3: Cross multiply
    633,184.92x = 873,786.48 × 346,705.02
  4. Step 4: Simplify right side
    633,184.92x = 302,946,159,024.13
  5. Step 5: Solve for x
    x = 302,946,159,024.13/633,184.92
  6. Step 6: Final answer
    x = 478,448.16

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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.