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Finding the Fourth Proportional to 1,164,931.92, 1,746,913.32 and 406,611.36

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Solution

The fourth proportional to 1,164,931.92, 1,746,913.32 and 406,611.36 is: 609,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,931.92 : 1,746,913.32 = 406,611.36 : x
  2. Step 2: Convert to fraction form
    1,164,931.92/1,746,913.32 = 406,611.36/x
  3. Step 3: Cross multiply
    1,164,931.92x = 1,746,913.32 × 406,611.36
  4. Step 4: Simplify right side
    1,164,931.92x = 710,314,800,847.32
  5. Step 5: Solve for x
    x = 710,314,800,847.32/1,164,931.92
  6. Step 6: Final answer
    x = 609,747.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.