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Finding the Fourth Proportional to 405,347.98, 559,345.35 and 233,206.78

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Solution

The fourth proportional to 405,347.98, 559,345.35 and 233,206.78 is: 321,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,347.98 : 559,345.35 = 233,206.78 : x
  2. Step 2: Convert to fraction form
    405,347.98/559,345.35 = 233,206.78/x
  3. Step 3: Cross multiply
    405,347.98x = 559,345.35 × 233,206.78
  4. Step 4: Simplify right side
    405,347.98x = 130,443,127,981.47
  5. Step 5: Solve for x
    x = 130,443,127,981.47/405,347.98
  6. Step 6: Final answer
    x = 321,805.30

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1.5x scale

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.