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Finding the Fourth Proportional to 668,164, 922,496.40 and 596,421.28

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Solution

The fourth proportional to 668,164, 922,496.40 and 596,421.28 is: 823,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,164 : 922,496.40 = 596,421.28 : x
  2. Step 2: Convert to fraction form
    668,164/922,496.40 = 596,421.28/x
  3. Step 3: Cross multiply
    668,164x = 922,496.40 × 596,421.28
  4. Step 4: Simplify right side
    668,164x = 550,196,483,683.39
  5. Step 5: Solve for x
    x = 550,196,483,683.39/668,164
  6. Step 6: Final answer
    x = 823,445.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.