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Finding the Fourth Proportional to 473,054.16, 652,815 and 258,190.32

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Solution

The fourth proportional to 473,054.16, 652,815 and 258,190.32 is: 356,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,054.16 : 652,815 = 258,190.32 : x
  2. Step 2: Convert to fraction form
    473,054.16/652,815 = 258,190.32/x
  3. Step 3: Cross multiply
    473,054.16x = 652,815 × 258,190.32
  4. Step 4: Simplify right side
    473,054.16x = 168,550,513,750.80
  5. Step 5: Solve for x
    x = 168,550,513,750.80/473,054.16
  6. Step 6: Final answer
    x = 356,302.78

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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.