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Finding the Fourth Proportional to 586,075.50, 808,789.05 and 317,803.50

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Solution

The fourth proportional to 586,075.50, 808,789.05 and 317,803.50 is: 438,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,075.50 : 808,789.05 = 317,803.50 : x
  2. Step 2: Convert to fraction form
    586,075.50/808,789.05 = 317,803.50/x
  3. Step 3: Cross multiply
    586,075.50x = 808,789.05 × 317,803.50
  4. Step 4: Simplify right side
    586,075.50x = 257,035,990,851.68
  5. Step 5: Solve for x
    x = 257,035,990,851.68/586,075.50
  6. Step 6: Final answer
    x = 438,571.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.