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Finding the Fourth Proportional to 415,678.96, 573,636.84 and 224,692.24

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Solution

The fourth proportional to 415,678.96, 573,636.84 and 224,692.24 is: 310,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.96 : 573,636.84 = 224,692.24 : x
  2. Step 2: Convert to fraction form
    415,678.96/573,636.84 = 224,692.24/x
  3. Step 3: Cross multiply
    415,678.96x = 573,636.84 × 224,692.24
  4. Step 4: Simplify right side
    415,678.96x = 128,891,746,526.12
  5. Step 5: Solve for x
    x = 128,891,746,526.12/415,678.96
  6. Step 6: Final answer
    x = 310,075.22

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1.5x scale

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.