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Finding the Fourth Proportional to 562,328.96, 776,025.12 and 307,685.60

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Solution

The fourth proportional to 562,328.96, 776,025.12 and 307,685.60 is: 424,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,328.96 : 776,025.12 = 307,685.60 : x
  2. Step 2: Convert to fraction form
    562,328.96/776,025.12 = 307,685.60/x
  3. Step 3: Cross multiply
    562,328.96x = 776,025.12 × 307,685.60
  4. Step 4: Simplify right side
    562,328.96x = 238,771,754,662.27
  5. Step 5: Solve for x
    x = 238,771,754,662.27/562,328.96
  6. Step 6: Final answer
    x = 424,612.23

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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.