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Finding the Fourth Proportional to 583,053.81, 804,339.34 and 341,188.02

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Solution

The fourth proportional to 583,053.81, 804,339.34 and 341,188.02 is: 470,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,053.81 : 804,339.34 = 341,188.02 : x
  2. Step 2: Convert to fraction form
    583,053.81/804,339.34 = 341,188.02/x
  3. Step 3: Cross multiply
    583,053.81x = 804,339.34 × 341,188.02
  4. Step 4: Simplify right side
    583,053.81x = 274,430,946,822.71
  5. Step 5: Solve for x
    x = 274,430,946,822.71/583,053.81
  6. Step 6: Final answer
    x = 470,678.59

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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.