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Finding the Fourth Proportional to 585,767.51, 877,742.47 and 406,203.19

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Solution

The fourth proportional to 585,767.51, 877,742.47 and 406,203.19 is: 608,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,767.51 : 877,742.47 = 406,203.19 : x
  2. Step 2: Convert to fraction form
    585,767.51/877,742.47 = 406,203.19/x
  3. Step 3: Cross multiply
    585,767.51x = 877,742.47 × 406,203.19
  4. Step 4: Simplify right side
    585,767.51x = 356,541,789,281.46
  5. Step 5: Solve for x
    x = 356,541,789,281.46/585,767.51
  6. Step 6: Final answer
    x = 608,674.57

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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.