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Finding the Fourth Proportional to 315,944.40, 473,916.60 and 105,582.34

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Solution

The fourth proportional to 315,944.40, 473,916.60 and 105,582.34 is: 158,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,944.40 : 473,916.60 = 105,582.34 : x
  2. Step 2: Convert to fraction form
    315,944.40/473,916.60 = 105,582.34/x
  3. Step 3: Cross multiply
    315,944.40x = 473,916.60 × 105,582.34
  4. Step 4: Simplify right side
    315,944.40x = 50,037,221,223.26
  5. Step 5: Solve for x
    x = 50,037,221,223.26/315,944.40
  6. Step 6: Final answer
    x = 158,373.50

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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.