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Finding the Fourth Proportional to 585,031.80, 877,547.70 and 382,078.20

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Solution

The fourth proportional to 585,031.80, 877,547.70 and 382,078.20 is: 573,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,031.80 : 877,547.70 = 382,078.20 : x
  2. Step 2: Convert to fraction form
    585,031.80/877,547.70 = 382,078.20/x
  3. Step 3: Cross multiply
    585,031.80x = 877,547.70 × 382,078.20
  4. Step 4: Simplify right side
    585,031.80x = 335,291,845,630.14
  5. Step 5: Solve for x
    x = 335,291,845,630.14/585,031.80
  6. Step 6: Final answer
    x = 573,117.30

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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.