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Finding the Fourth Proportional to 617,352, 852,054.96 and 362,703.12

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Solution

The fourth proportional to 617,352, 852,054.96 and 362,703.12 is: 500,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,352 : 852,054.96 = 362,703.12 : x
  2. Step 2: Convert to fraction form
    617,352/852,054.96 = 362,703.12/x
  3. Step 3: Cross multiply
    617,352x = 852,054.96 × 362,703.12
  4. Step 4: Simplify right side
    617,352x = 309,042,992,403.48
  5. Step 5: Solve for x
    x = 309,042,992,403.48/617,352
  6. Step 6: Final answer
    x = 500,594.46

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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.