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Finding the Fourth Proportional to 315,416.40, 473,200.02 and 105,056.16

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Solution

The fourth proportional to 315,416.40, 473,200.02 and 105,056.16 is: 157,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,416.40 : 473,200.02 = 105,056.16 : x
  2. Step 2: Convert to fraction form
    315,416.40/473,200.02 = 105,056.16/x
  3. Step 3: Cross multiply
    315,416.40x = 473,200.02 × 105,056.16
  4. Step 4: Simplify right side
    315,416.40x = 49,712,577,013.12
  5. Step 5: Solve for x
    x = 49,712,577,013.12/315,416.40
  6. Step 6: Final answer
    x = 157,609.36

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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.