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Finding the Fourth Proportional to 564,008.49, 778,506 and 362,804.49

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Solution

The fourth proportional to 564,008.49, 778,506 and 362,804.49 is: 500,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,008.49 : 778,506 = 362,804.49 : x
  2. Step 2: Convert to fraction form
    564,008.49/778,506 = 362,804.49/x
  3. Step 3: Cross multiply
    564,008.49x = 778,506 × 362,804.49
  4. Step 4: Simplify right side
    564,008.49x = 282,445,472,291.94
  5. Step 5: Solve for x
    x = 282,445,472,291.94/564,008.49
  6. Step 6: Final answer
    x = 500,782.31

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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.