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Finding the Fourth Proportional to 585,643.20, 877,946.40 and 522,657.60

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Solution

The fourth proportional to 585,643.20, 877,946.40 and 522,657.60 is: 783,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,643.20 : 877,946.40 = 522,657.60 : x
  2. Step 2: Convert to fraction form
    585,643.20/877,946.40 = 522,657.60/x
  3. Step 3: Cross multiply
    585,643.20x = 877,946.40 × 522,657.60
  4. Step 4: Simplify right side
    585,643.20x = 458,865,358,352.64
  5. Step 5: Solve for x
    x = 458,865,358,352.64/585,643.20
  6. Step 6: Final answer
    x = 783,523.75

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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.