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Finding the Fourth Proportional to 583,798.40, 875,632.80 and 478,433.60

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Solution

The fourth proportional to 583,798.40, 875,632.80 and 478,433.60 is: 717,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,798.40 : 875,632.80 = 478,433.60 : x
  2. Step 2: Convert to fraction form
    583,798.40/875,632.80 = 478,433.60/x
  3. Step 3: Cross multiply
    583,798.40x = 875,632.80 × 478,433.60
  4. Step 4: Simplify right side
    583,798.40x = 418,932,152,782.08
  5. Step 5: Solve for x
    x = 418,932,152,782.08/583,798.40
  6. Step 6: Final answer
    x = 717,597.30

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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.