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Finding the Fourth Proportional to 310,021.60, 465,032.40 and 307,688.80

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Solution

The fourth proportional to 310,021.60, 465,032.40 and 307,688.80 is: 461,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,021.60 : 465,032.40 = 307,688.80 : x
  2. Step 2: Convert to fraction form
    310,021.60/465,032.40 = 307,688.80/x
  3. Step 3: Cross multiply
    310,021.60x = 465,032.40 × 307,688.80
  4. Step 4: Simplify right side
    310,021.60x = 143,085,261,117.12
  5. Step 5: Solve for x
    x = 143,085,261,117.12/310,021.60
  6. Step 6: Final answer
    x = 461,533.20

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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.