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Finding the Fourth Proportional to 601,407.84, 829,931.76 and 346,769.76

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Solution

The fourth proportional to 601,407.84, 829,931.76 and 346,769.76 is: 478,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,407.84 : 829,931.76 = 346,769.76 : x
  2. Step 2: Convert to fraction form
    601,407.84/829,931.76 = 346,769.76/x
  3. Step 3: Cross multiply
    601,407.84x = 829,931.76 × 346,769.76
  4. Step 4: Simplify right side
    601,407.84x = 287,795,237,231.58
  5. Step 5: Solve for x
    x = 287,795,237,231.58/601,407.84
  6. Step 6: Final answer
    x = 478,535.89

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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.