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Finding the Fourth Proportional to 415,678.93, 573,636.67 and 224,692.32

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Solution

The fourth proportional to 415,678.93, 573,636.67 and 224,692.32 is: 310,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.93 : 573,636.67 = 224,692.32 : x
  2. Step 2: Convert to fraction form
    415,678.93/573,636.67 = 224,692.32/x
  3. Step 3: Cross multiply
    415,678.93x = 573,636.67 × 224,692.32
  4. Step 4: Simplify right side
    415,678.93x = 128,891,754,219.37
  5. Step 5: Solve for x
    x = 128,891,754,219.37/415,678.93
  6. Step 6: Final answer
    x = 310,075.26

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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.