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Finding the Fourth Proportional to 315,802.32, 473,684.04 and 105,422.64

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Solution

The fourth proportional to 315,802.32, 473,684.04 and 105,422.64 is: 158,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,802.32 : 473,684.04 = 105,422.64 : x
  2. Step 2: Convert to fraction form
    315,802.32/473,684.04 = 105,422.64/x
  3. Step 3: Cross multiply
    315,802.32x = 473,684.04 × 105,422.64
  4. Step 4: Simplify right side
    315,802.32x = 49,937,022,022.67
  5. Step 5: Solve for x
    x = 49,937,022,022.67/315,802.32
  6. Step 6: Final answer
    x = 158,127.47

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1.5x scale

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.