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Finding the Fourth Proportional to 473,685.40, 710,528.10 and 422,075.80

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Solution

The fourth proportional to 473,685.40, 710,528.10 and 422,075.80 is: 633,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,685.40 : 710,528.10 = 422,075.80 : x
  2. Step 2: Convert to fraction form
    473,685.40/710,528.10 = 422,075.80/x
  3. Step 3: Cross multiply
    473,685.40x = 710,528.10 × 422,075.80
  4. Step 4: Simplify right side
    473,685.40x = 299,896,716,229.98
  5. Step 5: Solve for x
    x = 299,896,716,229.98/473,685.40
  6. Step 6: Final answer
    x = 633,113.70

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1.5x scale

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.