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Finding the Fourth Proportional to 533,054.34, 735,544.08 and 342,326.16

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Solution

The fourth proportional to 533,054.34, 735,544.08 and 342,326.16 is: 472,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,054.34 : 735,544.08 = 342,326.16 : x
  2. Step 2: Convert to fraction form
    533,054.34/735,544.08 = 342,326.16/x
  3. Step 3: Cross multiply
    533,054.34x = 735,544.08 × 342,326.16
  4. Step 4: Simplify right side
    533,054.34x = 251,795,980,417.13
  5. Step 5: Solve for x
    x = 251,795,980,417.13/533,054.34
  6. Step 6: Final answer
    x = 472,364.56

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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.