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Finding the Fourth Proportional to 522,024.60, 783,036.90 and 462,538.20

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Solution

The fourth proportional to 522,024.60, 783,036.90 and 462,538.20 is: 693,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,024.60 : 783,036.90 = 462,538.20 : x
  2. Step 2: Convert to fraction form
    522,024.60/783,036.90 = 462,538.20/x
  3. Step 3: Cross multiply
    522,024.60x = 783,036.90 × 462,538.20
  4. Step 4: Simplify right side
    522,024.60x = 362,184,478,259.58
  5. Step 5: Solve for x
    x = 362,184,478,259.58/522,024.60
  6. Step 6: Final answer
    x = 693,807.30

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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.