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Finding the Fourth Proportional to 473,400.09, 710,106.21 and 157,856.90

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Solution

The fourth proportional to 473,400.09, 710,106.21 and 157,856.90 is: 236,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,400.09 : 710,106.21 = 157,856.90 : x
  2. Step 2: Convert to fraction form
    473,400.09/710,106.21 = 157,856.90/x
  3. Step 3: Cross multiply
    473,400.09x = 710,106.21 × 157,856.90
  4. Step 4: Simplify right side
    473,400.09x = 112,095,161,430.82
  5. Step 5: Solve for x
    x = 112,095,161,430.82/473,400.09
  6. Step 6: Final answer
    x = 236,787.37

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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.