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Finding the Fourth Proportional to 343,416.16, 473,914.28 and 190,477.76

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Solution

The fourth proportional to 343,416.16, 473,914.28 and 190,477.76 is: 262,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,416.16 : 473,914.28 = 190,477.76 : x
  2. Step 2: Convert to fraction form
    343,416.16/473,914.28 = 190,477.76/x
  3. Step 3: Cross multiply
    343,416.16x = 473,914.28 × 190,477.76
  4. Step 4: Simplify right side
    343,416.16x = 90,270,130,486.41
  5. Step 5: Solve for x
    x = 90,270,130,486.41/343,416.16
  6. Step 6: Final answer
    x = 262,859.30

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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.