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Finding the Fourth Proportional to 719,678.34, 991,840.41 and 477,533.70

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Solution

The fourth proportional to 719,678.34, 991,840.41 and 477,533.70 is: 658,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,678.34 : 991,840.41 = 477,533.70 : x
  2. Step 2: Convert to fraction form
    719,678.34/991,840.41 = 477,533.70/x
  3. Step 3: Cross multiply
    719,678.34x = 991,840.41 × 477,533.70
  4. Step 4: Simplify right side
    719,678.34x = 473,637,220,796.82
  5. Step 5: Solve for x
    x = 473,637,220,796.82/719,678.34
  6. Step 6: Final answer
    x = 658,123.49

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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.