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Finding the Fourth Proportional to 585,024.60, 877,536.90 and 407,731.80

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Solution

The fourth proportional to 585,024.60, 877,536.90 and 407,731.80 is: 611,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,024.60 : 877,536.90 = 407,731.80 : x
  2. Step 2: Convert to fraction form
    585,024.60/877,536.90 = 407,731.80/x
  3. Step 3: Cross multiply
    585,024.60x = 877,536.90 × 407,731.80
  4. Step 4: Simplify right side
    585,024.60x = 357,799,699,803.42
  5. Step 5: Solve for x
    x = 357,799,699,803.42/585,024.60
  6. Step 6: Final answer
    x = 611,597.70

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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.