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Finding the Fourth Proportional to 365,411.60, 548,117.40 and 282,365.20

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Solution

The fourth proportional to 365,411.60, 548,117.40 and 282,365.20 is: 423,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,411.60 : 548,117.40 = 282,365.20 : x
  2. Step 2: Convert to fraction form
    365,411.60/548,117.40 = 282,365.20/x
  3. Step 3: Cross multiply
    365,411.60x = 548,117.40 × 282,365.20
  4. Step 4: Simplify right side
    365,411.60x = 154,769,279,274.48
  5. Step 5: Solve for x
    x = 154,769,279,274.48/365,411.60
  6. Step 6: Final answer
    x = 423,547.80

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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.