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Finding the Fourth Proportional to 614,905.47, 922,638.45 and 315,596.23

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Solution

The fourth proportional to 614,905.47, 922,638.45 and 315,596.23 is: 473,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,905.47 : 922,638.45 = 315,596.23 : x
  2. Step 2: Convert to fraction form
    614,905.47/922,638.45 = 315,596.23/x
  3. Step 3: Cross multiply
    614,905.47x = 922,638.45 × 315,596.23
  4. Step 4: Simplify right side
    614,905.47x = 291,181,216,473.04
  5. Step 5: Solve for x
    x = 291,181,216,473.04/614,905.47
  6. Step 6: Final answer
    x = 473,538.18

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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.