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Finding the Fourth Proportional to 471,260.40, 705,335.40 and 365,506.80

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Solution

The fourth proportional to 471,260.40, 705,335.40 and 365,506.80 is: 547,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,260.40 : 705,335.40 = 365,506.80 : x
  2. Step 2: Convert to fraction form
    471,260.40/705,335.40 = 365,506.80/x
  3. Step 3: Cross multiply
    471,260.40x = 705,335.40 × 365,506.80
  4. Step 4: Simplify right side
    471,260.40x = 257,804,884,980.72
  5. Step 5: Solve for x
    x = 257,804,884,980.72/471,260.40
  6. Step 6: Final answer
    x = 547,054.00

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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.