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Finding the Fourth Proportional to 402,533.84, 555,509.40 and 221,259.79

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Solution

The fourth proportional to 402,533.84, 555,509.40 and 221,259.79 is: 305,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,533.84 : 555,509.40 = 221,259.79 : x
  2. Step 2: Convert to fraction form
    402,533.84/555,509.40 = 221,259.79/x
  3. Step 3: Cross multiply
    402,533.84x = 555,509.40 × 221,259.79
  4. Step 4: Simplify right side
    402,533.84x = 122,911,893,187.03
  5. Step 5: Solve for x
    x = 122,911,893,187.03/402,533.84
  6. Step 6: Final answer
    x = 305,345.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.